Derivative of x^7cos(9x)

Derivative of x^7cos(9x). 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 x^7cos(9x): 


(x^7*cos(9*x))'

(x^7)'*cos(9*x)+x^7*(cos(9*x))'

7*x^(7-1)*cos(9*x)+x^7*(cos(9*x))'

7*x^6*cos(9*x)+x^7*(cos(9*x))'

7*x^6*cos(9*x)+x^7*-sin(9*x)*(9*x)'

7*x^6*cos(9*x)+x^7*-sin(9*x)*((9)'*x+9*(x)')

7*x^6*cos(9*x)+x^7*-sin(9*x)*(0*x+9*(x)')

7*x^6*cos(9*x)+x^7*-sin(9*x)*(0*x+9*1)

7*x^6*cos(9*x)+x^7*9*(-sin(9*x))

7*x^6*cos(9*x)+x^7*-9*sin(9*x)

7*x^6*cos(9*x)-(9*x^7*sin(9*x))

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

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