Derivative of 3*cos(8ln(x))

Derivative of 3*cos(8ln(x)). 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 3*cos(8ln(x)): 


(3*cos(8*ln(x)))'

(3)'*cos(8*ln(x))+3*(cos(8*ln(x)))'

0*cos(8*ln(x))+3*(cos(8*ln(x)))'

0*cos(8*ln(x))+3*-sin(8*ln(x))*(8*ln(x))'

0*cos(8*ln(x))+3*-sin(8*ln(x))*((8)'*ln(x)+8*(ln(x))')

0*cos(8*ln(x))+3*-sin(8*ln(x))*(0*ln(x)+8*(ln(x))')

0*cos(8*ln(x))+3*-sin(8*ln(x))*(0*ln(x)+8*(1/x))

0*cos(8*ln(x))+3*(8/x)*(-sin(8*ln(x)))

0*cos(8*ln(x))+3*((-8*sin(8*ln(x)))/x)

(-24*sin(8*ln(x)))/x

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

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