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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

2 sin (4 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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^{2} + 2 y^{2}) \frac{d y}{d x} = x y, y (- 1) = 1

\frac{d}{d x} (- 32 cos (2 x))

\frac{x - 3 x x}{x}

\int (2 x y - 9 x^{2}) d x

\int_{- 1}^{3} (3 x^{4} + 5) 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)