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)

\frac{1 - 2 x}{1 + 2 x}

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

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

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

\int \frac{1}{3} x^{2} d x

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)