What is (\partial)/(\partial x)(2e^{xy^2}) ?

The answer to (\partial)/(\partial x)(2e^{xy^2}) is 2e^{xy^2}y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(2e^{xy^2})

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

2 e^{x y^{2}} y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

What is (\partial)/(\partial x)(2e^{xy^2}) ?
The answer to (\partial)/(\partial x)(2e^{xy^2}) is 2e^{xy^2}y^2