What is (\partial)/(\partial y)(ysin(x)y) ?

The answer to (\partial)/(\partial y)(ysin(x)y) is 2ysin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(ysin(x)y)

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

2 y sin (x)

Solution steps

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

Simplify

y sin (x) y : y^{2} sin (x)

= \frac{\partial}{\partial y} (y^{2} sin (x))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= sin (x) \frac{\partial}{\partial y} (y^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin (x) \cdot 2 y^{2 - 1}

Simplify

= 2 y sin (x)

What is (\partial)/(\partial y)(ysin(x)y) ?
The answer to (\partial)/(\partial y)(ysin(x)y) is 2ysin(x)