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

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

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

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

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

- sin (2 x)

Solution steps

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

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)

\int (4 x + 3) e^{3 x + 1} d x

\int \frac{1}{( 4 + x ) ^{2}} d x

y = - x^{2} + 12 x - 32, y = 0

x \to 4 lim (\frac{15}{x - 4})

(\frac{d y}{d x}) - y = 4 e^{x} + 24 e^{(4 x)}

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