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

3774 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find stationary points of an equation, eg. y=x^2+3x+2


A curve has equation y = 4x + 1/(x^2) find dy/dx.


How do I multiply complex numbers?


Differentiate f(x) = (3x + 5)(4x - 7)


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences