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)

\int \frac{- 2 x}{x ^{2} - 1} d x

\frac{\partial}{\partial y} (8 y - (x + y)^{3})

2 sin^{4} (x)

\int \frac{1}{( 2 - y ) ( 1 - y )} d y

\frac{\partial}{\partial x} (2 ln (x) + 5 ln (y))

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)