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

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

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

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

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

- sin (2 x) \cdot 2 - 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) \cdot 2

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

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

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