What is the derivative of cos^2(θ) ?

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

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

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

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derivative of

cos^{2} (θ)

- sin (2 θ)

Solution steps

\frac{d}{d θ} (cos^{2} (θ))

Apply the chain rule:

2 cos (θ) \frac{d}{d θ} (cos (θ))

= 2 cos (θ) \frac{d}{d θ} (cos (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= 2 cos (θ) (- sin (θ))

Simplify

2 cos (θ) (- sin (θ)) : - sin (2 θ)

= - sin (2 θ)

\frac{d y}{d x} = y (950 - y)

\int \frac{7}{x + 7 + x} d x

\frac{d}{d x} (\frac{x ^{3} y - x y ^{3}}{x ^{2} + y ^{2}})

\int \frac{8 x}{x ^{2} + 4} d x

n = 1 \sum \infty \frac{4 n + 2}{5 ^{n}}

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