What is the derivative of cos(3x^5+1) ?

The derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4

What is the first derivative of cos(3x^5+1) ?

The first derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (cos (3 x^{5} + 1))

- sin (3 x^{5} + 1) \cdot 15 x^{4}

Solution steps

\frac{d}{d x} (cos (3 x^{5} + 1))

Apply the chain rule:

- sin (3 x^{5} + 1) \frac{d}{d x} (3 x^{5} + 1)

= - sin (3 x^{5} + 1) \frac{d}{d x} (3 x^{5} + 1)

\frac{d}{d x} (3 x^{5} + 1) = 15 x^{4}

= - sin (3 x^{5} + 1) \cdot 15 x^{4}

What is the derivative of cos(3x^5+1) ?
The derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4
What is the first derivative of cos(3x^5+1) ?
The first derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4