Derivative of e^(ln(2x))

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


(e^ln(2*x))'

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

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

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

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

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

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

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

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

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

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

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

0^ln(2*x)

x^-1*e^ln(2*x)

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

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