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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

e^{x + y}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + y) = 1

= e^{x + y} \cdot 1

Simplify

= e^{x + y}

n = 0 \sum \infty (x)^{n}

\int \frac{1}{t ^{4} + 16} d t

x \to - 3 + lim (\frac{x + 2}{x + 3})

x \to 3 lim (\frac{x + 2}{x + 3})

\int (2 x^{3} + 5 cos (x) + e^{x}) d x

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