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

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

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

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

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

- sin (x) - 2 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to 5 - lim (\frac{2}{x - 5})

\frac{d}{d x} (x^{2} y^{3} + x e^{x y})

\int (10 x + 0.5) d x

\frac{d}{d y} (x^{\frac{z}{y}})

\frac{d}{d x} (65536 cos (2 x))

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