What is the derivative of sin(cos(5x)) ?

The derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)

What is the first derivative of sin(cos(5x)) ?

The first derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin (cos (5 x))

- 5 cos (cos (5 x)) sin (5 x)

Solution steps

\frac{d}{d x} (sin (cos (5 x)))

Apply the chain rule:

cos (cos (5 x)) \frac{d}{d x} (cos (5 x))

= cos (cos (5 x)) \frac{d}{d x} (cos (5 x))

\frac{d}{d x} (cos (5 x)) = - sin (5 x) \cdot 5

= cos (cos (5 x)) (- sin (5 x) \cdot 5)

Simplify

= - 5 cos (cos (5 x)) sin (5 x)

What is the derivative of sin(cos(5x)) ?
The derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)
What is the first derivative of sin(cos(5x)) ?
The first derivative of sin(cos(5x)) is -5cos(cos(5x))sin(5x)