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

TS
Answered by Toby S. Maths tutor

5516 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?


What is the general rule for differentiation?


What is a geometric series?


How do we solve a second order, homogeneous, linear differential equation?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning