Derivative of (7e^x)*(x^(1/2))

Derivative of (7e^x)*(x^(1/2)). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (7e^x)*(x^(1/2)): 


(7*x^(1/2)*e^x)'

(7*x^(1/2))'*e^x+7*x^(1/2)*(e^x)'

((7)'*x^(1/2)+7*(x^(1/2))')*e^x+7*x^(1/2)*(e^x)'

(0*x^(1/2)+7*(x^(1/2))')*e^x+7*x^(1/2)*(e^x)'

(0*x^(1/2)+7*(1/2)*x^(1/2-1)*(x)')*e^x+7*x^(1/2)*(e^x)'

(0*x^(1/2)+7*(1/2)*x^(1/2-1)*1)*e^x+7*x^(1/2)*(e^x)'

(0*x^(1/2)+7*1/2*x^(-1/2))*e^x+7*x^(1/2)*(e^x)'

7/2*x^(-1/2)*e^x+7*x^(1/2)*(e^x)'

7/2*x^(-1/2)*e^x+7*x^(1/2)*ln(e)*e^x

7/2*x^(-1/2)*e^x+7*x^(1/2)*e^x

(7/2)*x^(-1/2)*e^x+7*x^(1/2)*e^x

The calculation above is a derivative of the function f (x)

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