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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{x ^{5}}{1 - 3 x ^{3}} d x

\frac{\partial}{\partial x} (t e^{- 2 x} + cos (x))

4 - \frac{3}{x ^{2}}, at x = 4

f (x) = \frac{2 x - 1}{x + 9}, at x = 1

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