What is (\partial)/(\partial y)(cos(y-x)) ?

The answer to (\partial)/(\partial y)(cos(y-x)) is -sin(y-x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(cos(y-x))

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

- sin (y - x)

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

- sin (y - x) \frac{\partial}{\partial y} (y - x)

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

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

= - sin (y - x) \cdot 1

Simplify

= - sin (y - x)

x \to 4 - lim (\frac{x - 5}{x - 4})

\frac{( - 4 e ^{x} )}{x ^{4}}

x \to 0 lim (+ (e^{- \frac{1}{x}}))

\int 2 x \cdot e^{x^{2}} d x

\int_{x}^{\frac{1}{2}} 8 d y

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