What is the derivative of e^{-3/x} ?

The derivative of e^{-3/x} is (3e^{-3/x})/(x^2)

What is the first derivative of e^{-3/x} ?

The first derivative of e^{-3/x} is (3e^{-3/x})/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{- \frac{3}{x}})

\frac{3 e ^{- \frac{3}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{- \frac{3}{x}})

Apply the chain rule:

e^{- \frac{3}{x}} \frac{d}{d x} (- \frac{3}{x})

= e^{- \frac{3}{x}} \frac{d}{d x} (- \frac{3}{x})

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

= e^{- \frac{3}{x}} \frac{3}{x ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 e ^{- \frac{3}{x}}}{x ^{2}}

x \to 0 lim (x \cdot cot (x))

\frac{d}{d x} (x^{2} \cdot 2^{x})

2 x e^{x}

\frac{d}{d x} (e^{x^{2}} - 1)

\frac{d}{d x} (x \cdot e^{x} - 1)

What is the derivative of e^{-3/x} ?
The derivative of e^{-3/x} is (3e^{-3/x})/(x^2)
What is the first derivative of e^{-3/x} ?
The first derivative of e^{-3/x} is (3e^{-3/x})/(x^2)