Derivative of x^e^(7x)

Derivative of x^e^(7x). 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 x^e^(7x): 


(x^(e^(7*x)))'

x^(e^(7*x))*((e^(7*x))'*ln(x)+(e^(7*x)*(x)')/x)

x^(e^(7*x))*((e^(7*x))'*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*((7*x)'*ln(e)+(7*x*(e)')/e)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*((7*x)'*ln(e)+(7*x*0)/e)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*(((7)'*x+7*(x)')*ln(e)+(7*x*0)/e)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*((0*x+7*(x)')*ln(e)+(7*x*0)/e)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*((0*x+7*1)*ln(e)+(7*x*0)/e)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(7*x)*((7*x*0)/e+7*ln(e))*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^((7)'*x+7*(x)')*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(0*x+7*(x)')*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(e^(0*x+7*1)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(0^(7*x)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x))*(7*e^(7*x)*ln(x)+(e^(7*x)*1)/x)

x^(e^(7*x)*((7*x)'*ln(e)+(7*x*(e)')/e))

x^(e^(7*x)*((7*x)'*ln(e)+(7*x*0)/e))

x^(e^(7*x)*(((7)'*x+7*(x)')*ln(e)+(7*x*0)/e))

x^(e^(7*x)*((0*x+7*(x)')*ln(e)+(7*x*0)/e))

x^(e^(7*x)*((0*x+7*1)*ln(e)+(7*x*0)/e))

x^(e^(7*x)*((7*x*0)/e+7*ln(e)))

x^(e^((7)'*x+7*(x)'))

x^(e^(0*x+7*(x)'))

x^(e^(0*x+7*1))

x^(0^(7*x))

1^(e^(7*x))

x^(e^(7*x))*(7*e^(7*x)*ln(x)+(e^(7*x))/x)

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

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