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

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

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

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

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derivative of

- cos^{2} (x)

sin (2 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

- 2 cos (x) (- sin (x)) : sin (2 x)

= sin (2 x)

\frac{8}{x - 2}

\int 6 sin (3 x) - cos (2 x) d x

\frac{d}{d x} (ln (sin (x^{2}) + 1))

\int 4 x^{6} - 2 x^{3} + 7 x - 4 d x

\int_{2}^{5} \frac{1}{x ^{2}} d x

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