Derivative of ln(8x)^0.5

Derivative of ln(8x)^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(8x)^0.5:


((ln(8*x))^0.5)'

0.5*(ln(8*x))^(0.5-1)*(ln(8*x))'

0.5*(ln(8*x))^(0.5-1)*(1/(8*x))*(8*x)'

0.5*(ln(8*x))^(0.5-1)*(1/(8*x))*((8)'*x+8*(x)')

0.5*(ln(8*x))^(0.5-1)*(1/(8*x))*(0*x+8*(x)')

0.5*(ln(8*x))^(0.5-1)*(1/(8*x))*(0*x+8*1)

0.5*(ln(8*x))^(0.5-1)*x^-1

0.5*x^-1*(ln(8*x))^-0.5

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

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