What is (\partial)/(\partial x)(e^{2x+7y}) ?

The answer to (\partial)/(\partial x)(e^{2x+7y}) is e^{2x+7y}*2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(e^{2x+7y})

\frac{\partial}{\partial x} (e^{2 x + 7 y})

e^{2 x + 7 y} \cdot 2

Solution steps

\frac{\partial}{\partial x} (e^{2 x + 7 y})

Treat

y

as a constant

Apply the chain rule:

e^{2 x + 7 y} \frac{\partial}{\partial x} (2 x + 7 y)

= e^{2 x + 7 y} \frac{\partial}{\partial x} (2 x + 7 y)

\frac{\partial}{\partial x} (2 x + 7 y) = 2

= e^{2 x + 7 y} \cdot 2

What is (\partial)/(\partial x)(e^{2x+7y}) ?
The answer to (\partial)/(\partial x)(e^{2x+7y}) is e^{2x+7y}*2