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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}})

Simplify

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

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

Popular Examples

(d^2)/(dx^2)(1/(3+x))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{3 + x})

derivative of f(x)=(x^2+3)^4 derivative of

f (x) = (x^{2} + 3)^{4}

integral of 1/((1-x)^3sqrt(x^2-2x-1))

\int \frac{1}{( 1 - x ) ^{3} x ^{2} - 2 x - 1} d x

derivative of \sqrt[3]{x}+2sqrt(x^3)derivative of

integral of 1/(sqrt(3x-x^2))

\int \frac{1}{3 x - x ^{2}} 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)