Derivative of (5x)^ln(5x)

Derivative of (5x)^ln(5x). 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 (5x)^ln(5x):

((5*x)^ln(5*x))'

(5*x)^ln(5*x)*((ln(5*x))'*ln(5*x)+(ln(5*x)*(5*x)')/(5*x))

(5*x)^ln(5*x)*((ln(5*x))'*ln(5*x)+(ln(5*x)*((5)'*x+5*(x)'))/(5*x))

(5*x)^ln(5*x)*((ln(5*x))'*ln(5*x)+(ln(5*x)*(0*x+5*(x)'))/(5*x))

(5*x)^ln(5*x)*((ln(5*x))'*ln(5*x)+(ln(5*x)*(0*x+5*1))/(5*x))

(5*x)^ln(5*x)*((ln(5*x))'*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^ln(5*x)*((1/(5*x))*(5*x)'*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^ln(5*x)*((1/(5*x))*((5)'*x+5*(x)')*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^ln(5*x)*((1/(5*x))*(0*x+5*(x)')*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^ln(5*x)*((1/(5*x))*(0*x+5*1)*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^ln(5*x)*(x^-1*ln(5*x)+(ln(5*x)*5)/(5*x))

(5*x)^((1/(5*x))*(5*x)')

(5*x)^((1/(5*x))*((5)'*x+5*(x)'))

(5*x)^((1/(5*x))*(0*x+5*(x)'))

(5*x)^((1/(5*x))*(0*x+5*1))

((5)'*x+5*(x)')^ln(5*x)

(0*x+5*(x)')^ln(5*x)

(0*x+5*1)^ln(5*x)

2*5^ln(5*x)*ln(5*x)*x^(ln(5*x)-1)

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

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Derivative of (5x)^ln(5x)

Derivative of (5x)^ln(5x). 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.

Derivative of (5x)^ln(5x):

See similar equations:

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