en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{-2/x}

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

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

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

Popular Examples

derivative of xe^{5x}derivative of

x e^{5 x}

integral of (e^{sqrt(x+1)})/(sqrt(x+1))

\int \frac{e ^{x + 1}}{x + 1} d x

derivative of f(x)=(x^2)/(9+8x)derivative of

f (x) = \frac{x ^{2}}{9 + 8 x}

integral of x^5*e^{x^3}

\int x^{5} \cdot e^{x^{3}} d x

integral of x/(x^2sqrt(x^2-16))

\int \frac{x}{x ^{2} x ^{2} - 16} d x

Frequently Asked Questions (FAQ)

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