What is the derivative of sqrt(cos(8x)) ?

The derivative of sqrt(cos(8x)) is 1/(2sqrt(cos(8x)))(-sin(8x)*8)

What is the first derivative of sqrt(cos(8x)) ?

The first derivative of sqrt(cos(8x)) is 1/(2sqrt(cos(8x)))(-sin(8x)*8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

cos (8 x)

\frac{1}{2 cos ( 8 x )} (- sin (8 x) \cdot 8)

Solution steps

\frac{d}{d x} (cos (8 x))

Apply the chain rule:

\frac{1}{2 cos ( 8 x )} \frac{d}{d x} (cos (8 x))

= \frac{1}{2 cos ( 8 x )} \frac{d}{d x} (cos (8 x))

\frac{d}{d x} (cos (8 x)) = - sin (8 x) \cdot 8

= \frac{1}{2 cos ( 8 x )} (- sin (8 x) \cdot 8)

What is the derivative of sqrt(cos(8x)) ?
The derivative of sqrt(cos(8x)) is 1/(2sqrt(cos(8x)))(-sin(8x)*8)
What is the first derivative of sqrt(cos(8x)) ?
The first derivative of sqrt(cos(8x)) is 1/(2sqrt(cos(8x)))(-sin(8x)*8)