What is (\partial)/(\partial x)(cos(3x+6y)) ?

The answer to (\partial)/(\partial x)(cos(3x+6y)) is -sin(3x+6y)*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(cos(3x+6y))

\frac{\partial}{\partial x} (cos (3 x + 6 y))

- sin (3 x + 6 y) \cdot 3

Solution steps

\frac{\partial}{\partial x} (cos (3 x + 6 y))

Treat

y

as a constant

Apply the chain rule:

- sin (3 x + 6 y) \frac{\partial}{\partial x} (3 x + 6 y)

= - sin (3 x + 6 y) \frac{\partial}{\partial x} (3 x + 6 y)

\frac{\partial}{\partial x} (3 x + 6 y) = 3

= - sin (3 x + 6 y) \cdot 3

What is (\partial)/(\partial x)(cos(3x+6y)) ?
The answer to (\partial)/(\partial x)(cos(3x+6y)) is -sin(3x+6y)*3