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

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

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

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

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

- x^{2} sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

Simplify

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

= - x^{2} sin (x)

\int 7 tan^{2} (x) + tan^{4} (x) d x

\int 3 x^{3} - 5 x^{2} + 7 x + 2 d x

\frac{d}{d x} (\frac{5 x + 1}{2 x ^{2} + 1})

x \to \infty lim (\frac{3 x ^{2} + 2 x - 8}{4 x ^{4} - 5 x + 4})

x \to 0 lim (\frac{1}{x + 1})

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