Derivative of 28*x^3*cos(7*x^4)

Derivative of 28*x^3*cos(7*x^4). 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 28*x^3*cos(7*x^4):


(28*x^3*cos(7*x^4))'

(28*x^3)'*cos(7*x^4)+28*x^3*(cos(7*x^4))'

((28)'*x^3+28*(x^3)')*cos(7*x^4)+28*x^3*(cos(7*x^4))'

(0*x^3+28*(x^3)')*cos(7*x^4)+28*x^3*(cos(7*x^4))'

(0*x^3+28*3*x^(3-1))*cos(7*x^4)+28*x^3*(cos(7*x^4))'

(0*x^3+28*3*x^2)*cos(7*x^4)+28*x^3*(cos(7*x^4))'

84*x^2*cos(7*x^4)+28*x^3*(cos(7*x^4))'

84*x^2*cos(7*x^4)+28*x^3*-sin(7*x^4)*(7*x^4)'

84*x^2*cos(7*x^4)+28*x^3*-sin(7*x^4)*((7)'*x^4+7*(x^4)')

84*x^2*cos(7*x^4)+28*x^3*-sin(7*x^4)*(0*x^4+7*(x^4)')

84*x^2*cos(7*x^4)+28*x^3*-sin(7*x^4)*(0*x^4+7*4*x^(4-1))

84*x^2*cos(7*x^4)+28*x^3*-sin(7*x^4)*(0*x^4+7*4*x^3)

84*x^2*cos(7*x^4)+28*x^3*28*x^3*(-sin(7*x^4))

84*x^2*cos(7*x^4)+28*x^3*-28*x^3*sin(7*x^4)

84*x^2*cos(7*x^4)-(784*x^6*sin(7*x^4))

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

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