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

4162 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

differentiate y = (4-x)^2


In the triangle ABC, AB = 16 cm, AC = 13 cm, angle ABC = 50 and angle BCA= x Find the two possible values for x, giving your answers to one decimal place.


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


The straight line L1 passes through the points (–1, 3) and (11, 12). Find an equation for L1 in the form ax + by + c = 0, where a, b and c are integers


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