MYTUTOR SUBJECT ANSWERS

519 views

Differentiate y = (6x-13)^3 with respect to x

We are looking for dy/dx, and in this question, the key rule to remember is the chain rule.

Therefore the first thing to do is the easy step, take the 3 down and minus 1 from it, this will give 3(6x-13)2.  But this is not the final answer as we have not also differentiated what is inside the bracket, hence we need to differentiate (6x-13), which is just 6, so we multiply this by the whole equation.

Therefore our answer will become 6*3(6x-13)= 18(6x-13)2

Toby S. GCSE Maths tutor, A Level Maths tutor

1 year ago

Answered by Toby, an A Level Maths tutor with MyTutor


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

311 SUBJECT SPECIALISTS

£24 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£20 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£20 /hr

Vlad B.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi! I am studying Mathematics at Bath University and I am passionate about teaching, and learning mathematics.”

About the author

Toby S.

Currently unavailable: for regular students

Degree: Mathematics (Bachelors) - Leeds University

Subjects offered:Maths

Maths

“Hello, my name is Toby.  I am a second year Mathematician at the University of Leeds, I am averaging a First Class degree at the moment and would love to be able to help out with whatever you need a hand with, GCSE and A-Level maths is...”

MyTutor guarantee

You may also like...

Posts by Toby

Differentiate y = (6x-13)^3 with respect to x

Solve this quadractic equation: x^2 - 8x + 15 = 0

Use integration by parts to find the integral of xsinx, with respect to x

Other A Level Maths questions

How do I find the coordinates of maximum and minimum turning points of a cubic equation?

Prove that the derivative of tan(x) is sec^2(x).

Differentiate y = √(1 + 3x²) with respect to x

How to differentiate using the Product Rule

View A Level Maths tutors

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

mtw:mercury1:status:ok