en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=e^{-7/(x^7)}

Solution

derivative of

f (x) = e^{- \frac{7}{x ^{7}}}

Solution

\frac{49 e ^{- \frac{7}{x ^{7}}}}{x ^{8}}

Solution steps

\frac{d}{d x} (e^{- \frac{7}{x ^{7}}})

Apply the chain rule:

e^{- \frac{7}{x ^{7}}} \frac{d}{d x} (- \frac{7}{x ^{7}})

= e^{- \frac{7}{x ^{7}}} \frac{d}{d x} (- \frac{7}{x ^{7}})

\frac{d}{d x} (- \frac{7}{x ^{7}}) = \frac{49}{x ^{8}}

= e^{- \frac{7}{x ^{7}}} \frac{49}{x ^{8}}

Multiply fractions:

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

= \frac{49 e ^{- \frac{7}{x ^{7}}}}{x ^{8}}

Popular Examples

limit as x approaches infinity of 1+4/x

x \to \infty lim (1 + \frac{4}{x})

(\partial)/(\partial x)(-2e^{-x^2+y}yx)

\frac{\partial}{\partial x} (- 2 e^{- x^{2} + y} y x)

area sqrt(x), 1/3 x,16 area

x, \frac{1}{3} x, 16

y^{^{'}} + \frac{y}{x} = 0

integral of (ln(x+1))/(sqrt(x+1))

\int \frac{ln ( x + 1 )}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=e^{-7/(x^7)} ?
The derivative of f(x)=e^{-7/(x^7)} is (49e^{-7/(x^7)})/(x^8)
What is the first derivative of f(x)=e^{-7/(x^7)} ?
The first derivative of f(x)=e^{-7/(x^7)} is (49e^{-7/(x^7)})/(x^8)