What is the (cos(x)-xsin(x))^' ?

The (cos(x)-xsin(x))^' is -2sin(x)-xcos(x)

What is the first (cos(x)-xsin(x))^' ?

The first (cos(x)-xsin(x))^' is -2sin(x)-xcos(x)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= (cos (x))^{^{'}} - (x sin (x))^{^{'}}

(cos (x))^{'} = - sin (x)

(x sin (x))^{'} = sin (x) + x cos (x)

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

Simplify

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

y = ln (\frac{x ^{4} - 10}{x})

x^{3} - 3

\int 5 x^{5} d x

(1 + cos^{2} (x))^{5}

n = 0 \sum \infty \frac{( e ^{n} )}{5}

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