Derivative of x^40*sin(7x)

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Derivative of x^40*sin(7x): 


(x^40*sin(7*x))'

(x^40)'*sin(7*x)+x^40*(sin(7*x))'

40*x^(40-1)*sin(7*x)+x^40*(sin(7*x))'

40*x^39*sin(7*x)+x^40*(sin(7*x))'

40*x^39*sin(7*x)+x^40*cos(7*x)*(7*x)'

40*x^39*sin(7*x)+x^40*cos(7*x)*((7)'*x+7*(x)')

40*x^39*sin(7*x)+x^40*cos(7*x)*(0*x+7*(x)')

40*x^39*sin(7*x)+x^40*cos(7*x)*(0*x+7*1)

40*x^39*sin(7*x)+x^40*7*cos(7*x)

40*x^39*sin(7*x)+7*x^40*cos(7*x)

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

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