What is (\partial)/(\partial x)(x+ycos(y)) ?

The answer to (\partial)/(\partial x)(x+ycos(y)) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(x+ycos(y))

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (y cos (y)) = 0

= 1 + 0

Simplify

= 1

What is (\partial)/(\partial x)(x+ycos(y)) ?
The answer to (\partial)/(\partial x)(x+ycos(y)) is 1