MYTUTOR SUBJECT ANSWERS

413 views

Differentiate y = (3x − 2)^4

We recognise that this is in the form of a function within a function, i.e u= 3x - 2 is within the u^4 function, therefore here we will use the chan rule to differentiate the equation. 

The chain rule states that dy/dx = dy/du * du/dx.

Here let u = 3x -2, then du/dx = 3. Similarly, y=u^4 so dy/du = 4u^3. Therefore dy/dx = 3 * 4u^3 = 12u^3.

Finally, we substitute u = 3x - 2 into the equation. This therefore gives us, dy/dx = 12(3x - 2)^3.

Wajiha I. A Level Maths tutor, GCSE Maths tutor

11 months ago

Answered by Wajiha, an A Level Maths tutor with MyTutor


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

255 SUBJECT SPECIALISTS

£24 /hr

Barnaby W.

Degree: Mathematics (Masters) - Southampton University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“ I have always enjoyed tutoring. I find that it gives me real satisfaction to see a child or student you have helped feel much more confident”

£20 /hr

Eleanor S.

Degree: Physics (Masters) - Durham University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
French

“About Me: Hi, I'm Elle! Science, maths and languages have been my favourite subjects from a young age and studying them in further detail only made me love them more. I am soon to go into my second year of a physics degree at Durham ...”

£36 /hr

Mathew V.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Hi there! I’m Mathew, a 3rd year undergraduate student of Mathematics at Warwick University. For A-Levels I studied Maths, Further Maths, Further Additional Maths and Physics. I also worked at a local tuition centre for 2 years prior ...”

About the author

Wajiha I.

Currently unavailable: until 31/05/2016

Degree: Actuarial Sciences (Masters) - Manchester University

Subjects offered: Maths

Maths

“About Me:I am a mathematics graduate, currently studying towards an MSc in Actuarial Science at the University of Manchester. I have always enjoyed solving mathematical problems and hope that my tutorials will help you grasp the m...”

MyTutor guarantee

You may also like...

Posts by Wajiha

Differentiate y = (3x − 2)^4

Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Other A Level Maths questions

Where z is a complex number, what is the cartesian form of |Z-2+3i| = 1?

Differentiate y=x*ln(x^3-5)

How do I find the minimum or maximum of a quadratic function?

Is a line ax+by+c=0 tangent to a circle?

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