# Answer to Question #30735 in Differential Equations for sana

Question #30735

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

Expert's answer

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.

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.

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