Derivative of 8(x)*ln(1/x)

Derivative of 8(x)*ln(1/x). 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 8(x)*ln(1/x):


(8*x*ln(1/x))'

(8*x)'*ln(1/x)+8*x*(ln(1/x))'

((8)'*x+8*(x)')*ln(1/x)+8*x*(ln(1/x))'

(0*x+8*(x)')*ln(1/x)+8*x*(ln(1/x))'

(0*x+8*1)*ln(1/x)+8*x*(ln(1/x))'

8*ln(1/x)+8*x*(ln(1/x))'

8*ln(1/x)+8*x*(1/(1/x))*(1/x)'

8*ln(1/x)+8*x*(1/(1/x))*(((1)'*x-(1*(x)'))/(x^2))

8*ln(1/x)+8*x*(1/(1/x))*((0*x-(1*(x)'))/(x^2))

8*ln(1/x)+8*x*(1/(1/x))*((0*x-(1*1))/(x^2))

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

8*ln(1/x)+8

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

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