The Maths Prof
The Maths Prof
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The Maths Prof: Rates of Change, Derivatives (Part 2)
'A point moves along a curve y=8/(7-2x). As it passes through the point P, the x-coordinate is increasing at a rate of 0.125 units per second and the y-coordinate is increasing at a rate of 0.08 units per second. Find the possible x-coordinates of P.'
Other lessons that you may find useful can be found below 👇 You can also find a playlist on my main page which covers all topics of the differentiation chapter in Cambridge AS Pure Maths 1 😄
🌟 Differentiation ua-cam.com/video/YAE29Ot2WWw/v-deo.html
🌟 Finding Gradient of Tangent (Differentiation) ua-cam.com/video/NTk0aLpAZL0/v-deo.html
🌟 Finding Coordinates From Gradient (Differentiation) ua-cam.com/video/DsAr-Sgv7Ww/v-deo.html
🌟 Finding Equations of Tangents (Differentiation) ua-cam.com/video/PwviEM26jms/v-deo.html
🌟 Finding Equation of Normal to Curve (Differentiation) ua-cam.com/video/UEyHuj8RXoE/v-deo.html
🌟 Differentiation Problem Solving (Find the values of a & b...) ua-cam.com/video/gU438jPyPfE/v-deo.html
🌟 Differentiation Chain Rule e.g y=(3x-2)⁴ ua-cam.com/video/FWF9XdFmGbA/v-deo.html
🌟 Finding Second Derivatives d²y/dx² and f''(x) ua-cam.com/video/yNjvgajbjEk/v-deo.html
🌟 Finding Second Derivatives Part 2 (chain rule differentiation) ua-cam.com/video/qX2Qoqqygik/v-deo.html
I hope that you find the lesson useful. Subscribe to my UA-cam channel to stay up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)
Переглядів: 1 188

Відео

The Maths Prof: Rates of Change, Derivatives (part 1)
Переглядів 6992 місяці тому
In this lesson I explain how to 'Find the rate at which the y-coordinate is changing when given the rate of change of x and the equation of a curve'. Other lessons that you may find useful can be found below 👇 You can also find a playlist on my main page which covers all topics of the differentiation chapter in Cambridge AS Pure Maths 1 😄 🌟 Differentiation ua-cam.com/video/YAE29Ot2WWw/v-deo.htm...
Exam Tips from The Maths Prof
Переглядів 1,2 тис.2 місяці тому
Exam Tips from The Maths Prof
The Maths Prof: Definite Integration
Переглядів 8492 місяці тому
In this lesson I show you how to solve definite integrals (i.e when you're given upper & lower limits). Here's the breakdown in case you want to skip to a specific question: Question 1 00:07 Question 2 02:22 Question 3 06:04 Question 4 11:03 Other related lessons that you may find useful can be found below 👇 Lots of other maths lessons can be found on my channel The Maths Prof 😊 🌟 Integration (...
The Maths Prof: Use differentiation to integrate these expressions
Переглядів 7402 місяці тому
In this lesson I show you how to solve more complicated integrals by using the concept that integration is the reverse process of differentiation. Other related lessons that you may find useful can be found below 👇 🌟 Integration (Part 1) ua-cam.com/video/t9Y4sjfPtJY/v-deo.html 🌟 Integration (Part 2) ua-cam.com/video/9FAXOk0XjUo/v-deo.html 🌟 Integration of (ax b)ⁿ ua-cam.com/video/yB7nOq_hudQ/v-...
The Maths Prof: Find equation of a curve from dy/dx & a point (x,y) (integration)
Переглядів 8223 місяці тому
In this lesson I show you how to integrate to find the equation of a curve when given dy/dx and a point (x,y) on the curve. The question used for my example: "A curve is such that dy/dx = 1/⎷(x-2) , and (3,7) is a point on the curve. Find the equation of the curve." To try one yourself skip to 4:05 (solution posted at the bottom of this text). More Integration lessons coming soon! 😄 Other relat...
The Maths Prof: Integration of (ax+b)ⁿ
Переглядів 8883 місяці тому
In this lesson I show you how to integrate expressions of the form (ax b)ⁿ where n ≠ -1 and a ≠ 0. This rule only works for powers of linear functions. Question 1 00:15 Question 2 01:47 Question 3 04:04 Other related lessons that you may find useful can be found below 👇 🌟 Integration (Part 1) ua-cam.com/video/t9Y4sjfPtJY/v-deo.html 🌟 Integration (Part 2) ua-cam.com/video/9FAXOk0XjUo/v-deo.html ...
The Maths Prof: Exponential Growth & Decay IGCSE GCSE Exam Questions
Переглядів 9763 місяці тому
In this lesson I explain how to answer exponential growth/increase/decay/decrease exam questions. The questions used are taken from recent Cambridge IGCSE Mathematics papers (0580). To skip to specific questions please see below 👇 Question 1 01:25 The number of trees in a forest is decreasing exponentially at a rate of 1.75% per year. 11 years ago there were 980 trees. Calculate the number of t...
The Maths Prof: Indices/Exponents NEW EXAM QUESTIONS! (Part 2)
Переглядів 2,1 тис.3 місяці тому
In this lesson I explain how to answer indices exam questions. The questions used are taken from recent Cambridge IGCSE Mathematics papers (0580). To skip to specific questions please see below 👇 Question 1a 0:07 1b 00:25 1c 1:19 0580/22/F/M/22 Question 2i 2:07 2ii 3:03 0580/42/M/J/23 Question 3a 6:04 3b 7:37 0580/22/O/N/23 Question 4a 8:53 4b 09:28 4c 10:52 0580/21/O/N/21 Question 5 13:12 0580...
The Maths Prof: Indices/Exponents NEW EXAM QUESTIONS! (Part 1)
Переглядів 1,5 тис.3 місяці тому
In this lesson I explain how to answer indices exam questions. The questions used are taken from recent Cambridge IGCSE Mathematics papers (0580). To skip to specific questions please see below 👇 Question 1 0:17 0580/13/M/J/20 Question 2 01:24 0580/23/M/J/22 Question 3 2:08 0580/23/O/N/21 Question 4 02:50 0580/33/O/N/21 Question 5 03:29 0580/11/M/J/20 Question 6 04:57 0580/23/O/N/23 Question 7 ...
The Maths Prof: Find equation of a curve from dy/dx & a point (x,y) (integration)
Переглядів 1,2 тис.3 місяці тому
In this lesson I show you how to integrate to find the equation of a curve when given dy/dx and a point (x,y) on the curve. The question used for my example: "A curve is such that dy/dx = (2x³-6)/x² , and (3,7) is a point on the curve. Find the equation of the curve." To try one yourself skip to 4:37 (solution posted at the bottom of this text). More Integration lessons coming soon! 😄 Other rel...
The Maths Prof: Graphs & Differentiation NEW EXAM QUESTIONS!
Переглядів 1,2 тис.3 місяці тому
In this lesson I explain how to answer graph/differentiation exam questions. The questions used are taken from the most recent Cambridge Extended IGCSE Mathematics papers (0580). Question 1 0:07 0580/42/O/N/23 & Question 2 07:24 0580/43/O/N/23. Other lessons that you may find useful related to these exam questions can be found below 👇 You can also find a playlist on my main page which covers ma...
The Maths Prof: Find f(x) in terms of x when given f'(x) (integration)
Переглядів 6383 місяці тому
In this lesson I show you how to integrate to find f(x) in terms of x when given f'(x). Try one yourself! → f'(x) = 5x⁴-2x³ 2 02:48 More Integration lessons coming soon! 😄 Other related lessons that you may find useful can be found below 👇 🌟 Integration (Part 1) ua-cam.com/video/t9Y4sjfPtJY/v-deo.html 🌟 Integration (Part 2) ua-cam.com/video/9FAXOk0XjUo/v-deo.html 🌟 Find y in terms of x when giv...
The Maths Prof: Find y in terms of x when given dy/dx (integration)
Переглядів 8114 місяці тому
In this lesson I show you how to integrate to find y in terms of x when given dy/dx. Example 1 → dy/dx = 14x⁶ 00:48 Example 2 → dy/dx = 4/√x 1:57 Example 3 → dy/dx = x(x 2)(x-8) 3:56 Example 4 → dy/dx = (5x² 3x 1)/√x 7:16 Try one yourself! → dy/dx = 2x²(3x-2) 12:03 More Integration lessons coming soon! 😄 Other related lessons that you may find useful can be found below 👇 🌟 Integration (Part 1) ...
The Maths Prof: Integration (part 2)
Переглядів 7964 місяці тому
In this lesson I show you how to find basic integrals after writing the expressions in power form. Example 1→ ∫4/x³ dx Example 2 → ∫(9/x⁷ - 3/x² - 4) dx Example 3 → ∫(5/(x√x)) dx Example 4 → ∫((x² 2√x)/3x) dx More Integration lessons coming soon! 😄 Other related lessons that you may find useful can be found below 👇 🌟 Integration (Part 1) ua-cam.com/video/t9Y4sjfPtJY/v-deo.html 🌟 Differentiation...
The Maths Prof: Integration (part 1)
Переглядів 1,1 тис.4 місяці тому
The Maths Prof: Integration (part 1)
The Maths Prof: Lowest Common Multiple / Least Common Multiple (LCM) of 3 numbers
Переглядів 1,1 тис.4 місяці тому
The Maths Prof: Lowest Common Multiple / Least Common Multiple (LCM) of 3 numbers
The Maths Prof: Lowest Common Multiple / Least Common Multiple (LCM) of 2 numbers
Переглядів 1,1 тис.4 місяці тому
The Maths Prof: Lowest Common Multiple / Least Common Multiple (LCM) of 2 numbers
The Maths Prof: Highest Common Factor (HCF) / Greatest Common Factor (GCF) of 140, 126 & 230
Переглядів 1 тис.4 місяці тому
The Maths Prof: Highest Common Factor (HCF) / Greatest Common Factor (GCF) of 140, 126 & 230
The Maths Prof: Highest Common Factor (HCF) / Greatest Common Factor (GCF) of 140 & 126
Переглядів 2,8 тис.4 місяці тому
The Maths Prof: Highest Common Factor (HCF) / Greatest Common Factor (GCF) of 140 & 126
The Maths Prof: AS Level Differentiation EXAM QUESTIONS
Переглядів 1,3 тис.4 місяці тому
The Maths Prof: AS Level Differentiation EXAM QUESTIONS
The Maths Prof: Finding Second Derivatives Part 2 (chain rule differentiation)
Переглядів 6 тис.Рік тому
The Maths Prof: Finding Second Derivatives Part 2 (chain rule differentiation)
The Maths Prof: Finding Second Derivatives d²y/dx² and f''(x)
Переглядів 3,8 тис.Рік тому
The Maths Prof: Finding Second Derivatives d²y/dx² and f''(x)
The Maths Prof: Finding Equation of Normal to Curve (Differentiation)
Переглядів 4,6 тис.Рік тому
The Maths Prof: Finding Equation of Normal to Curve (Differentiation)
The Maths Prof: Finding Equations of Tangents (Differentiation)
Переглядів 2,7 тис.Рік тому
The Maths Prof: Finding Equations of Tangents (Differentiation)
The Maths Prof: Finding Coordinates On Curve From Gradient (Differentiation Chain Rule)
Переглядів 2,7 тис.Рік тому
The Maths Prof: Finding Coordinates On Curve From Gradient (Differentiation Chain Rule)
The Maths Prof: Find Gradient of Curve y=(2x-3)⁵ at the point (2,1) (Chain Rule Differentiation)
Переглядів 2,5 тис.Рік тому
The Maths Prof: Find Gradient of Curve y=(2x-3)⁵ at the point (2,1) (Chain Rule Differentiation)
The Maths Prof: Differentiation Chain Rule e.g y=(3x-2)⁴
Переглядів 2,9 тис.Рік тому
The Maths Prof: Differentiation Chain Rule e.g y=(3x-2)⁴
The Maths Prof: NEW Cambridge IGCSE Maths Calculator Specimen Paper 4 (Extended) 2025
Переглядів 4,5 тис.Рік тому
The Maths Prof: NEW Cambridge IGCSE Maths Calculator Specimen Paper 4 (Extended) 2025
The Maths Prof: NEW Cambridge IGCSE Maths Non-Calculator Specimen Paper 2 (Extended) 2025
Переглядів 8 тис.Рік тому
The Maths Prof: NEW Cambridge IGCSE Maths Non-Calculator Specimen Paper 2 (Extended) 2025

КОМЕНТАРІ

  • @HareemSajjad-zk8mt
    @HareemSajjad-zk8mt Годину тому

    I am watching from Pakistan 🇵🇰🇵🇰🇵🇰🇵🇰

  • @algebra8stats
    @algebra8stats Годину тому

    Thank you for the clear explanations. I am glad I found your videos.

  • @LasenInjim-nd2cw
    @LasenInjim-nd2cw 7 годин тому

    Thanks for explaination

  • @MeaganJulies
    @MeaganJulies День тому

    Thank you

  • @fmfm579
    @fmfm579 День тому

    Thank you so m7ch for that. I finally got it.

  • @oyegokemichael3207
    @oyegokemichael3207 День тому

    Thanks ma

  • @apsarabhandari6085
    @apsarabhandari6085 2 дні тому

    Thanks 🙏👍👍👍👍👍👍👍😢🎉😮😅😊😅😢🎉😂❤

  • @EbubeNwankwo-vm3wp
    @EbubeNwankwo-vm3wp 2 дні тому

    she is so Beautiful 😍

  • @NlandRbert-ix5bx
    @NlandRbert-ix5bx 2 дні тому

    Your the best teacher ever 💯

  • @issacike2868
    @issacike2868 2 дні тому

    You make boring math fun

  • @issacike2868
    @issacike2868 2 дні тому

    You make boring math fun

  • @martindaudi9102
    @martindaudi9102 3 дні тому

    What about 13004

  • @GiftyAsare-ky5qx
    @GiftyAsare-ky5qx 3 дні тому

    Incredibly understandable

  • @user-eb1dw1ez9t
    @user-eb1dw1ez9t 4 дні тому

    I wish you were my maths teacher

  • @Area_58
    @Area_58 5 днів тому

    Can you do full syllabus playlist of 4024 syllabus D plz

  • @tavishgopireddy4225
    @tavishgopireddy4225 5 днів тому

    Thanks for the explanation

  • @youramiir
    @youramiir 5 днів тому

    Thank you 🎉

  • @LAXO_DRY_REMIX
    @LAXO_DRY_REMIX 6 днів тому

    Thanks for clearing things 🙏🙏❤

  • @CityLifeByRei
    @CityLifeByRei 6 днів тому

    Thanks. Keep up the good work

  • @agathamuso-b7f
    @agathamuso-b7f 6 днів тому

    So what time is i

  • @MukuwaKafukwe
    @MukuwaKafukwe 6 днів тому

    You are a good teacher

  • @dreamcomestruego7068
    @dreamcomestruego7068 6 днів тому

    First one wrong

  • @larisalarisa4984
    @larisalarisa4984 7 днів тому

    We love your teaching

  • @larisalarisa4984
    @larisalarisa4984 7 днів тому

    Tomorrow I have math exam, and I have no idea what is this😉😌

  • @philominaannor4700
    @philominaannor4700 7 днів тому

    You are the best. Even my maths professor taught me this subject I didn't understand it but you taught me and I understood it in a matter of just 14 minutes thank a lot may the good lord bless you

  • @Amos-ks9yp
    @Amos-ks9yp 8 днів тому

    Digging up differentition so good all thanks to you 😊

  • @Anjanee890
    @Anjanee890 8 днів тому

    Can u please inbox me for the video u have put🙂

  • @SoniaJbrt
    @SoniaJbrt 8 днів тому

    How do you type this equation into the calculator? Asking for my daughter.

  • @bjornleonard3836
    @bjornleonard3836 8 днів тому

    Wow,maths is so easy when you explain it.👌🏼

  • @t.kuchez14
    @t.kuchez14 8 днів тому

    you're soo good..please don't stop making videos for us:)

  • @javadudes
    @javadudes 9 днів тому

    Now I understand 👍🏻 thanks 😊 mam😢😢😢😢😢😢😢😢😢😢😢

  • @rumanakhan5139
    @rumanakhan5139 9 днів тому

    Thank you

  • @ThebeMohasoane
    @ThebeMohasoane 9 днів тому

    😮I don't need books no more🙈

  • @DerickChila
    @DerickChila 9 днів тому

    Thank you so much I was failing now l can pass 😊

  • @mdanishrahman2485
    @mdanishrahman2485 10 днів тому

    Great Mam ❤

  • @ebrimatouray1765
    @ebrimatouray1765 10 днів тому

    Good 👍

  • @InnocentBorderCollie-cx3tr
    @InnocentBorderCollie-cx3tr 10 днів тому

    Maths prof you are the best teacher I have ever seen

  • @jikkusojan2749
    @jikkusojan2749 11 днів тому

    Thanks I can help my daughter

  • @tasniimnoor7812
    @tasniimnoor7812 11 днів тому

    thank you

  • @amnawaqas7759
    @amnawaqas7759 11 днів тому

    Awesome very simple and easy to understand teaching method

  • @KhadijahDilshad
    @KhadijahDilshad 12 днів тому

    Thanks so much, this really helped me immensely!

  • @jonahsanga9150
    @jonahsanga9150 12 днів тому

    For the first time after 24 years i am understanding factorization

  • @jonahsanga9150
    @jonahsanga9150 12 днів тому

    Your teaching are good but i wont believe maths anymore,in 12:14sec the rules are allowed to be changed or bend again?

  • @thembiwilliams648
    @thembiwilliams648 13 днів тому

    You have no idea how much you help me❤

  • @jeganJSingh
    @jeganJSingh 13 днів тому

    😢kl

  • @EvangelistChrist
    @EvangelistChrist 13 днів тому

    Round up 8.06432 to 3 sig figure

  • @EvangelistChrist
    @EvangelistChrist 13 днів тому

    I really understood it perfectly

  • @abhijeetkumarpandey2704
    @abhijeetkumarpandey2704 13 днів тому

    In a Nut - Bolt factory 180 workers are working 6 hours a day . Out of 180 workers there are some men, some women and rest are boys . All the workers can produce either nut or bolt or both of them . A man can produce 60 nuts and 80 bolts in each hour and a woman can produce 30 nuts and 60 bolts per hour. A man is thrice as efficient as a boy and 3/2 times as efficient as a women . Given that all men,all women and all boys produce equal number of items of one kind ( i.e either nut or bolt ) per hour. Q:1 Working 6 hours a day , how many nuts they can produce with 52500 bolt in each day ? a) 17500 b) 23760 c) 50850 d) 60280 e) 80336

  • @adetutuayinde9613
    @adetutuayinde9613 14 днів тому

    i wish you could teach me bearings 🥺 anyway u are Pythagoras reborn

  • @sadhanavidhate7633
    @sadhanavidhate7633 14 днів тому

    Thanku ❤