Derivative of ln(x^3*e^4x)

Derivative of ln(x^3*e^4x). 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 ln(x^3*e^4x): 


(ln(e^4*x*x^3))'

(1/(e^4*x*x^3))*(e^4*x*x^3)'

(1/(e^4*x*x^3))*((e^4*x)'*x^3+e^4*x*(x^3)')

(1/(e^4*x*x^3))*(((e^4)'*x+e^4*(x)')*x^3+e^4*x*(x^3)')

(1/(e^4*x*x^3))*((0*x+e^4*(x)')*x^3+e^4*x*(x^3)')

(1/(e^4*x*x^3))*((0*x+e^4*1)*x^3+e^4*x*(x^3)')

(1/(e^4*x*x^3))*(e^4*x^3+e^4*x*(x^3)')

(1/(e^4*x*x^3))*(e^4*x^3+e^4*x*3*x^(3-1))

(1/(e^4*x*x^3))*(e^4*x^3+e^4*x*3*x^2)

(e^4*x^3+3*e^4*x^3)/(e^4*x^4)

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

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