Question

How do you differentiate `f(x)=e^x/x-3x` using the quotient rule?

Answer 1

You'll be using two different differentiating rules for this function.

Quotient and multiplication by constant:

`f'(x)=[d/dx(e^x)*x-d/dx(x)*e^x]/x^2-d/dx(3x)`

`=[xe^x-e^x]/x^2-3`