What is the derivative of f(x)=e^{4/x} ?

The derivative of f(x)=e^{4/x} is -(4e^{4/x})/(x^2)

What is the first derivative of f(x)=e^{4/x} ?

The first derivative of f(x)=e^{4/x} is -(4e^{4/x})/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = e^{\frac{4}{x}}

- \frac{4 e ^{\frac{4}{x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (e^{\frac{4}{x}})

Apply the chain rule:

e^{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

= e^{\frac{4}{x}} \frac{d}{d x} (\frac{4}{x})

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

= e^{\frac{4}{x}} (- \frac{4}{x ^{2}})

Simplify

e^{\frac{4}{x}} (- \frac{4}{x ^{2}}) : - \frac{4 e ^{\frac{4}{x}}}{x ^{2}}

= - \frac{4 e ^{\frac{4}{x}}}{x ^{2}}

What is the derivative of f(x)=e^{4/x} ?
The derivative of f(x)=e^{4/x} is -(4e^{4/x})/(x^2)
What is the first derivative of f(x)=e^{4/x} ?
The first derivative of f(x)=e^{4/x} is -(4e^{4/x})/(x^2)