Derivative of ln(1-x^0.5)^0.5

Derivative of ln(1-x^0.5)^0.5. 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 ln(1-x^0.5)^0.5: 


((ln(1-x^0.5))^0.5)'

0.5*(ln(1-x^0.5))^(0.5-1)*(ln(1-x^0.5))'

0.5*(ln(1-x^0.5))^(0.5-1)*(1/(1-x^0.5))*(1-x^0.5)'

0.5*(ln(1-x^0.5))^(0.5-1)*(1/(1-x^0.5))*((-x^0.5)'+(1)')

0.5*(ln(1-x^0.5))^(0.5-1)*(1/(1-x^0.5))*(0.5*x^(0.5-1)+(1)')

0.5*(ln(1-x^0.5))^(0.5-1)*(1/(1-x^0.5))*(0-0.5*x^-0.5)

0.5*(ln(1-x^0.5))^(0.5-1)*((-0.5*x^-0.5)/(1-x^0.5))

(-0.25*x^-0.5*(ln(1-x^0.5))^-0.5)/(1-x^0.5)

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

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