What is (\partial)/(\partial x)(e^{3x+4y}) ?

The answer to (\partial)/(\partial x)(e^{3x+4y}) is e^{3x+4y}*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(e^{3x+4y})

\frac{\partial}{\partial x} (e^{3 x + 4 y})

e^{3 x + 4 y} \cdot 3

Solution steps

\frac{\partial}{\partial x} (e^{3 x + 4 y})

Treat

y

as a constant

Apply the chain rule:

e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

= e^{3 x + 4 y} \frac{\partial}{\partial x} (3 x + 4 y)

\frac{\partial}{\partial x} (3 x + 4 y) = 3

= e^{3 x + 4 y} \cdot 3

What is (\partial)/(\partial x)(e^{3x+4y}) ?
The answer to (\partial)/(\partial x)(e^{3x+4y}) is e^{3x+4y}*3