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

Answered by Toby S. Maths tutor

4081 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How would you find the minimum turning point of the function y = x^3 + 2x^2 - 4x + 10


Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2


How do I calculate the rate of change of something for which I don't have an equation?


f ( x ) = 2 x ^3 − 5 x ^2 + ax + a. Given that (x + 2) is a factor of f ( x ), find the value of the constant a. (3 marker)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy