What is the derivative of y=cos(x)-xsin(x) ?

The derivative of y=cos(x)-xsin(x) is -2sin(x)-xcos(x)

What is the first derivative of y=cos(x)-xsin(x) ?

The first derivative of y=cos(x)-xsin(x) is -2sin(x)-xcos(x)

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derivative of

y = cos (x) - x sin (x)

- 2 sin (x) - x cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (x) - (sin (x) + x cos (x))

Simplify

= - 2 sin (x) - x cos (x)

f (x) = x^{\frac{1}{6}}

\frac{d}{d x} (sin^{8} (5 x^{2} + 8))

\int \frac{e ^{13 x}}{( e ^{13 x} + 5 ) ^{4}} d x

\frac{d y}{d x} - 0.11 y = 200

\frac{d}{d x} (\frac{x - 3}{2 x - 5})

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