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

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

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

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

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

- sin (2 x) - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{( x ^{\frac{1}{3}} - 4 ) ^{5}}{6 x ^{\frac{2}{3}}} d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 1 + e^{x}

\frac{d}{d x} (e^{2 x} \cdot 2 - e^{x})

x \to \infty lim (5 x - 10)

\int_{- 1}^{2} \frac{1}{x ^{3}} d x

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