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

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

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

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

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

- sin (2 x) - sin (x^{2}) \cdot 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (2 x) - sin (x^{2}) \cdot 2 x

y^{^{'}} = - \frac{x}{4 y}

y = (sin (3 x)) ln (x)

\frac{d}{d x} (48 x^{\frac{1}{2}})

\int \frac{8}{x ^{2} ( x ^{2} + 25 )} d x

f (x) = \frac{2}{ln ( x )}

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