Differentiate y=sin(x)/5x^3 with respect to x

In order to complete this question we need to use the quotient rule (i.e. if an equation is of the form h(x)=f(x)/g(x) then h'(x)=(g(x)f'(x)-g'(x)f(x))/g(x)^2).In our example f'(x)=cos(x),g'(x)=15x^2, therefore dy/dx=(5x^3cos(x)-15x^2sin(x))/25x^6

KZ
Answered by Kirill Z. Maths tutor

4220 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

(https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2013/Exam-materials/6666_01_que_20160624.pdf) Question 6.(i)


A curve has the equation y=3x^2-2x+7, find the gradient of the line at the point (6,3)


Prove that (sinx + cosx)^2 = 1 + 2sinxcosx


Use integration by parts to find the integral of x sin(3x)


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:

© 2026 by IXL Learning