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

3867 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

find the value of x for when f(x)=0. f(x)=9x^(2)-4


Using complex numbers, derive the trigonometric identities for cos(2θ) and sin(2θ).


3. The point P lies on the curve with equation y=ln(x/3) The x-coordinate of P is 3. Find an equation of the normal to the curve at the point P in the form y = ax + b, where a and b are constants.


Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)


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