Derivative of 1/2*x^(-1/2)

Derivative of 1/2*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 1/2*x^(-1/2): 


((1/2)*x^(-1/2))'

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

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

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

0*x^(-1/2)+(1/2)*(-1/2)*x^(-1/2-1)*1

0*x^(-1/2)+(1/2)*-1/2*x^(-3/2)

(-1/4)*x^(-3/2)

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

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