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

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

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

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

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derivative of

f (x) = 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)

x \to - 1 - lim (4 - x)

x \to π lim (7 cot (x))

\frac{d}{d t} (e^{- t} (3 cos (\frac{t}{2}) + 2 sin (\frac{t}{2})))

\frac{d y}{d x} = - \frac{1}{4} e^{x} y^{- 2}

\int_{- 1}^{1} y^{2} - 2 - e^{y} d y

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