Derivative of sin(x)^5cos(x)^3

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Derivative of sin(x)^5cos(x)^3:


((sin(x))^5*(cos(x))^3)'

((sin(x))^5)'*(cos(x))^3+(sin(x))^5*((cos(x))^3)'

5*(sin(x))^(5-1)*(sin(x))'*(cos(x))^3+(sin(x))^5*((cos(x))^3)'

5*(sin(x))^(5-1)*cos(x)*(cos(x))^3+(sin(x))^5*((cos(x))^3)'

5*(sin(x))^4*cos(x)*(cos(x))^3+(sin(x))^5*((cos(x))^3)'

5*(sin(x))^4*cos(x)*(cos(x))^3+(sin(x))^5*3*(cos(x))^(3-1)*(cos(x))'

5*(sin(x))^4*cos(x)*(cos(x))^3+(sin(x))^5*3*(cos(x))^(3-1)*(-sin(x))

5*(sin(x))^4*cos(x)*(cos(x))^3+(sin(x))^5*-3*(cos(x))^2*sin(x)

5*(cos(x))^4*(sin(x))^4-(3*(cos(x))^2*(sin(x))^6)

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

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