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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

sin (x - y)

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= - sin (x - y) (- 1)

Simplify

= sin (x - y)

x \to 4 - lim (3 (x) - 5)

\frac{d}{d x} (\frac{8 e ^{x} + 5 e ^{- x}}{8})

f (x) = 10 - 5 x

\int \frac{4 x ^{5} + 2 x ^{3} + x - 1}{x ^{2}} d x

\int (\frac{1}{x ^{9}} - x^{9} - \frac{1}{2}) d x

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