What is the derivative of 2xcos(x)-x^2sin(x) ?

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

What is the first derivative of 2xcos(x)-x^2sin(x) ?

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

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 (cos (x) - x sin (x)) - (2 x sin (x) + cos (x) x^{2})

Simplify

2 (cos (x) - x sin (x)) - (2 x sin (x) + cos (x) x^{2}) : 2 cos (x) - 4 x sin (x) - x^{2} cos (x)

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

x \to 3 lim ((8) + 6 (- 7))

\int 5 x^{3} cos (x^{2}) d x

x \to 2 lim ((2 - x)^{x - 2})

(arctan (9 x))^{2}

(t - 8)^{3}

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