What is (\partial)/(\partial y)(xe^{y^2}) ?

The answer to (\partial)/(\partial y)(xe^{y^2}) is xe^{y^2}*2y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(xe^{y^2})

\frac{\partial}{\partial y} (x e^{y^{2}})

x e^{y^{2}} \cdot 2 y

Solution steps

\frac{\partial}{\partial y} (x e^{y^{2}})

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

e^{y^{2}} \frac{\partial}{\partial y} (y^{2})

= e^{y^{2}} \frac{\partial}{\partial y} (y^{2})

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

= x e^{y^{2}} \cdot 2 y

(y e^{x y} cos (2 x) - 2 e^{x y} sin (2 x) + 2 x) + (x e^{x y} cos (2 x) - 3) y^{^{'}} = 0

x \to 0 lim ((1 - 6 x)^{\frac{5}{x}})

\frac{d y}{d x} + 7 y = 6

n = 1 \sum \infty 5 (\frac{7}{8})^{n}

\frac{d}{d x} (\frac{3 x}{x})

What is (\partial)/(\partial y)(xe^{y^2}) ?
The answer to (\partial)/(\partial y)(xe^{y^2}) is xe^{y^2}*2y