What is (\partial)/(\partial y)(cos(xy)) ?

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

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

- sin (x y) x

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) = x

= - sin (x y) x

\int_{0}^{3} 1 + x^{4} d x

x \to 5 lim (2 x^{2})

\frac{1}{( z - 1 ) ^{3}} \cdot \frac{1}{e ^{z + 1}}

\frac{d y}{d x} = \frac{x ^{2} - 3 y ^{2}}{2 x y}

\frac{d}{d y} (y - \frac{y}{x ^{2}} e^{\frac{y}{x}})

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