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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- cos (x - y)

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= cos (x - y) (- 1)

Simplify

= - cos (x - y)

y = - 3 - 2 e^{x}

y = \frac{4}{x - 2}

\int e^{s i n (t)} cos (t) d t

\int \frac{( x + 4 ) ^{4}}{2 x} d x

\frac{d}{d x} ((3 x^{2} - 13)^{3})

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