Derivative of (6x)^ln(6x)

Derivative of (6x)^ln(6x). 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 (6x)^ln(6x): 


((6*x)^ln(6*x))'

(6*x)^ln(6*x)*((ln(6*x))'*ln(6*x)+(ln(6*x)*(6*x)')/(6*x))

(6*x)^ln(6*x)*((ln(6*x))'*ln(6*x)+(ln(6*x)*((6)'*x+6*(x)'))/(6*x))

(6*x)^ln(6*x)*((ln(6*x))'*ln(6*x)+(ln(6*x)*(0*x+6*(x)'))/(6*x))

(6*x)^ln(6*x)*((ln(6*x))'*ln(6*x)+(ln(6*x)*(0*x+6*1))/(6*x))

(6*x)^ln(6*x)*((ln(6*x))'*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^ln(6*x)*((1/(6*x))*(6*x)'*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^ln(6*x)*((1/(6*x))*((6)'*x+6*(x)')*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^ln(6*x)*((1/(6*x))*(0*x+6*(x)')*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^ln(6*x)*((1/(6*x))*(0*x+6*1)*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^ln(6*x)*(x^-1*ln(6*x)+(ln(6*x)*6)/(6*x))

(6*x)^((1/(6*x))*(6*x)')

(6*x)^((1/(6*x))*((6)'*x+6*(x)'))

(6*x)^((1/(6*x))*(0*x+6*(x)'))

(6*x)^((1/(6*x))*(0*x+6*1))

((6)'*x+6*(x)')^ln(6*x)

(0*x+6*(x)')^ln(6*x)

(0*x+6*1)^ln(6*x)

2*6^ln(6*x)*ln(6*x)*x^(ln(6*x)-1)

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

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