What is (\partial)/(\partial x)(6e^{xy+3}) ?

The answer to (\partial)/(\partial x)(6e^{xy+3}) is 6e^{xy+3}y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(6e^{xy+3})

\frac{\partial}{\partial x} (6 e^{x y + 3})

6 e^{x y + 3} y

Solution steps

\frac{\partial}{\partial x} (6 e^{x y + 3})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (e^{x y + 3})

Apply the chain rule:

e^{x y + 3} \frac{\partial}{\partial x} (x y + 3)

= e^{x y + 3} \frac{\partial}{\partial x} (x y + 3)

\frac{\partial}{\partial x} (x y + 3) = y

= 6 e^{x y + 3} y

What is (\partial)/(\partial x)(6e^{xy+3}) ?
The answer to (\partial)/(\partial x)(6e^{xy+3}) is 6e^{xy+3}y