Derivative of cos(2x)+ln(3x)

Derivative of cos(2x)+ln(3x). 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 cos(2x)+ln(3x): 


(cos(2*x)+ln(3*x))'

(cos(2*x))'+(ln(3*x))'

(ln(3*x))'-sin(2*x)*(2*x)'

(ln(3*x))'-sin(2*x)*((2)'*x+2*(x)')

(ln(3*x))'-sin(2*x)*(0*x+2*(x)')

(ln(3*x))'-sin(2*x)*(0*x+2*1)

2*(-sin(2*x))+(ln(3*x))'

(1/(3*x))*(3*x)'-2*sin(2*x)

(1/(3*x))*((3)'*x+3*(x)')-2*sin(2*x)

(1/(3*x))*(0*x+3*(x)')-2*sin(2*x)

(1/(3*x))*(0*x+3*1)-2*sin(2*x)

x^-1-(2*sin(2*x))

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

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