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

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

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

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

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

- sin (2 x) + sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - sin (2 x) + sin (x)

\frac{d}{d x} (m (m - 1) x^{m - 2})

\frac{d}{d x} (arctan (1))

\int (1 - x^{\frac{3}{2}})^{\frac{5}{3}} \cdot x d x

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

x \to \infty lim (5 x - 1)

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