What is the derivative of 5x^2cos(x-4x) ?

The derivative of 5x^2cos(x-4x) is 5(2xcos(x)-x^2sin(x))-4

What is the first derivative of 5x^2cos(x-4x) ?

The first derivative of 5x^2cos(x-4x) is 5(2xcos(x)-x^2sin(x))-4

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\frac{d}{d x} (5 x^{2} cos (x) - 4 x)

5 (2 x cos (x) - x^{2} sin (x)) - 4

Solution steps

\frac{d}{d x} (5 x^{2} cos (x) - 4 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x^{2} cos (x)) - \frac{d}{d x} (4 x)

\frac{d}{d x} (5 x^{2} cos (x)) = 5 (2 x cos (x) - x^{2} sin (x))

\frac{d}{d x} (4 x) = 4

= 5 (2 x cos (x) - x^{2} sin (x)) - 4

What is the derivative of 5x^2cos(x-4x) ?
The derivative of 5x^2cos(x-4x) is 5(2xcos(x)-x^2sin(x))-4
What is the first derivative of 5x^2cos(x-4x) ?
The first derivative of 5x^2cos(x-4x) is 5(2xcos(x)-x^2sin(x))-4