MYTUTOR SUBJECT ANSWERS

394 views

What is the chain rule, product rule and quotient rule and when do I use them?

The chain rule, product rule and quotient rule are all 3 methods of differentiating complex functions.

Chain rule

The chain rule is as follows: (dy/dx) = (dy/dz).(dz/dx) or D{f(g(x))}/dx = f'(g(x)).g'(x)

The chain rule is used when you want to differentiate a function to the power of a number. For example, you would use it to differentiate (4x^3 + 3x)^5

The chain rule is also used when you want to differentiate a function inside of another function. For example, you would use it to differentiate sin(3x) (With the function 3x being inside the sin() function)

Product rule

The product rule is as follows d(f(x).g(x))/dx = g(x).f'(x) + f(x).g'(x)

The product rule is used when you want to differentiate two different functions multiplied together. For example, you would use it to differentiate (x^4 + 7x + 2)(3x^2 + 1)

Quotient rule

The Quotient rule is as follows: d(f(x) / g(x))/dx = (f'(x)g(x) - g(x)f'(x)) / g(x)^2

The Quotient rule is used when you want to differentiate one function divided by another. For example, you would use it to differentiate (4x + 5)/(3 - x^2)

Hakeem K. A Level Maths tutor, A Level Further Mathematics  tutor, GC...

2 years ago

Answered by Hakeem, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

184 SUBJECT SPECIALISTS

£20 /hr

James S.

Degree: MPhys (Masters) - Edinburgh University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Chemistry
Biology

“About me: I am a third-year physics student at the University of Edinburgh. I have always been passionate about the sciences; including biology and chemistry in conjunction with physics. I love having the opportunity to help and meet ...”

MyTutor guarantee

£24 /hr

Matthew K.

Degree: General Engineering (Masters) - Warwick University

Subjects offered: Maths, Physics

Maths
Physics

“About MeI am a student studying a general engineering masters degree at Warwick University. I amfun and friendly and have a passion for maths and physics with a little bit of rugby on the side.I helped my brother whilst he was ...”

£22 /hr

Liam B.

Degree: Mathematics & Economics (Joint Honours) (Bachelors) - Durham University

Subjects offered: Maths, Science+ 3 more

Maths
Science
Physics
Economics
-Personal Statements-

“About Me: I am currently an undergraduate student studying Mathematics & Economics at Durham University. I have always found myself enjoying Maths during my time learning, and I hope to be able to share this joy with yourself by ensuri...”

About the author

Hakeem K.

Currently unavailable: for regular students

Degree: Mathematics And Computer Science (Masters) - Bristol University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Friendly first-year Mathematics and Computer science tutor ready to turn 'nay' grades into A-grades!”

You may also like...

Other A Level Maths questions

Differentiate y = 4ln(x)x^2

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

How to integrate e^(5x) between the limits 0 and 1.

The first term of an infinite geometric series is 48. The ratio of the series is 0.6. (a) Find the third term of the series. (b) Find the sum to infinity. (c) The nth term of the series is u_n. Find the value of the sum from n=4 to infinity of u_n.

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok