What is the derivative of e^{(x+y}) ?

The derivative of e^{(x+y}) is e^{x+y}(1+(dy)/(dx))

What is the first derivative of e^{(x+y}) ?

The first derivative of e^{(x+y}) is e^{x+y}(1+(dy)/(dx))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

e^{x + y} (1 + \frac{d y}{d x})

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x + y} (1 + \frac{d y}{d x})

What is the derivative of e^{(x+y}) ?
The derivative of e^{(x+y}) is e^{x+y}(1+(dy)/(dx))
What is the first derivative of e^{(x+y}) ?
The first derivative of e^{(x+y}) is e^{x+y}(1+(dy)/(dx))