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

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

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

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

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

- sin (x) - sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int e^{\frac{t}{2}} d t

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

\int sin^{2} (2 x) cos (3 x) d x

\frac{\partial}{\partial x} (e^{x y} cos (x + y))

\frac{d}{d x} (b x e^{x})

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