Derivative of 2x^(ln(x))

Derivative of 2x^(ln(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 2x^(ln(x)): 


(2*x^ln(x))'

(2)'*x^ln(x)+2*(x^ln(x))'

0*x^ln(x)+2*(x^ln(x))'

0*x^ln(x)+2*x^ln(x)*((ln(x))'*ln(x)+(ln(x)*(x)')/x)

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

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

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

0*x^ln(x)+2*1^ln(x)

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

4*ln(x)*x^(ln(x)-1)

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

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