What is (\partial)/(\partial x)(sin(2x+y)) ?

The answer to (\partial)/(\partial x)(sin(2x+y)) is cos(2x+y)*2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(sin(2x+y))

\frac{\partial}{\partial x} (sin (2 x + y))

cos (2 x + y) \cdot 2

Solution steps

\frac{\partial}{\partial x} (sin (2 x + y))

Treat

y

as a constant

Apply the chain rule:

cos (2 x + y) \frac{\partial}{\partial x} (2 x + y)

= cos (2 x + y) \frac{\partial}{\partial x} (2 x + y)

\frac{\partial}{\partial x} (2 x + y) = 2

= cos (2 x + y) \cdot 2

What is (\partial)/(\partial x)(sin(2x+y)) ?
The answer to (\partial)/(\partial x)(sin(2x+y)) is cos(2x+y)*2