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

The derivative of cos^2(2x) is -2sin(4x)

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

The first derivative of cos^2(2x) is -2sin(4x)

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derivative of

cos^{2} (2 x)

- 2 sin (4 x)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

2 cos (2 x) (- sin (2 x) \cdot 2) : - 2 sin (4 x)

= - 2 sin (4 x)

\int \frac{x ^{5}}{x ^{3} - 8} d x

f (x) = - 4.9 x^{2} + 35 x + 4

\frac{x}{x - 2}

\frac{d}{d x} (x^{2} e^{x y})

\int \frac{e ^{3 x}}{e ^{3 x} + 6} d x

What is the derivative of cos^2(2x) ?
The derivative of cos^2(2x) is -2sin(4x)
What is the first derivative of cos^2(2x) ?
The first derivative of cos^2(2x) is -2sin(4x)