What is the derivative of sin(-1(6x+1)) ?

The derivative of sin(-1(6x+1)) is -cos(1+6x)*6

What is the first derivative of sin(-1(6x+1)) ?

The first derivative of sin(-1(6x+1)) is -cos(1+6x)*6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin (- 1 (6 x + 1))

- cos (1 + 6 x) \cdot 6

Solution steps

\frac{d}{d x} (sin (- 1 \cdot (6 x + 1)))

Simplify

sin (- 1 \cdot (6 x + 1)) : - sin (1 + 6 x)

= \frac{d}{d x} (- sin (1 + 6 x))

Take the constant out:

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

= - \frac{d}{d x} (sin (1 + 6 x))

Apply the chain rule:

cos (1 + 6 x) \frac{d}{d x} (1 + 6 x)

= cos (1 + 6 x) \frac{d}{d x} (1 + 6 x)

\frac{d}{d x} (1 + 6 x) = 6

= - cos (1 + 6 x) \cdot 6

What is the derivative of sin(-1(6x+1)) ?
The derivative of sin(-1(6x+1)) is -cos(1+6x)*6
What is the first derivative of sin(-1(6x+1)) ?
The first derivative of sin(-1(6x+1)) is -cos(1+6x)*6