Derivative of sin(x)ln(5x)

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


(sin(x)*ln(5*x))'

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

cos(x)*ln(5*x)+sin(x)*(ln(5*x))'

cos(x)*ln(5*x)+sin(x)*(1/(5*x))*(5*x)'

cos(x)*ln(5*x)+sin(x)*(1/(5*x))*((5)'*x+5*(x)')

cos(x)*ln(5*x)+sin(x)*(1/(5*x))*(0*x+5*(x)')

cos(x)*ln(5*x)+sin(x)*(1/(5*x))*(0*x+5*1)

cos(x)*ln(5*x)+sin(x)*x^-1

cos(x)*ln(5*x)+x^-1*sin(x)

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

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