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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- e^{y - x}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{y - x} (- 1)

Simplify

= - e^{y - x}

x \to 0 - lim (x + \frac{∣ x ∣}{x})

\frac{d y}{d x} + 3 y = \frac{3}{2}

\frac{d}{d x} (e^{ik x})

\frac{d}{d x} ((2 x - 3)^{4})

(x^{3} - 1)^{100}

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