Answer to Question #30735 in Differential Equations for sana

Question

Differentiate f(x)= e^x/x^2

Answer 1

We have a function which is a quotient of functions e^x and x^2. So we can apply quotient rule for derivatives:
f'(x)= (e^x/x^2)'=(e^x*x^2-2x*e^x)/x^4=xe^x(x-2)/x^4=e^x(x-2)/x^3

To get more info about quotient rule for derivatives watch our video example.