MYTUTOR SUBJECT ANSWERS

399 views

Differentiation: How to use the chain rule

If y is a function of u, which itself is a function of x, then 

dy/dx=(dy/du) x (du/dx)

Differentiate the outer function and multiply by the derivative of the inner function.  

To illustrate this rule, look at the example below:

y=(2x+3)10

in which y=u10 and u=2x+3

Now,

dy/du=10u9=10(2x+3)9

du/dx=2

The chain rule then gives

dy/dx=(dy/du) x (du/dx) = 10(2x+3)9(2) = 20(2x+3)9

 
Nicolas H. Mentoring -Personal Statements- tutor, A Level Maths tutor...

2 years ago

Answered by Nicolas, an A Level Maths tutor with MyTutor


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

180 SUBJECT SPECIALISTS

£20 /hr

Georgiana P.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Maths

Maths

“I am a Maths student at the University of Bristol and hope to share my love of maths with you. I believe that Maths is learnt in 3 steps:    1) I will explain and we will discuss the main principles of what we are working on, assis...”

£20 /hr

Solomon L.

Degree: Mathematics (Bachelors) - Leeds University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Currently studying at Leeds university, ready to help you improve your grades in Maths and Chemistry GCSE! ”

£20 /hr

Fraser F.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths

Maths

“Hi, I'm Fraser! I'm a third year student at Durham University working towards a masters in mathematics. I've loved learning about maths and I hope I am able to pass that on to anyone I tutor. Sessions will be focussed around your needs...”

MyTutor guarantee

About the author

Nicolas H.

Currently unavailable: for regular students

Degree: Economics with French (Bachelors) - Durham University

Subjects offered: Maths, History+ 2 more

Maths
History
French
-Personal Statements-

“Hi I'm Nick and I would love to share my knowledge as a Maths, History or French tutor!”

You may also like...

Other A Level Maths questions

Express 3 cos θ + 4 sin θ in the form R cos(θ – α), where R and α are constants, R > 0 and 0 < α < 90°.

Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)

How do I solve a quadratic equation?

How do you find the coordinate of where two lines intersect?

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