Question

What is the derivative of `lnx/(4x^2)`?

Answer 1

Quotient rule, which states for `y=f(x)/g(x)`, `y'=(f'(x)g(x)-f(x)g'(x))/g(x)^2`, will help us here.

Explanation:

`(dy)/(dx)=((1/x)(4x^2)-lnx(8x))/(4x^4)`

`(dy)/(dx)=(4x-8xlnx)/(4x^4)=(1-2lnx)/(x^3)`