What is the derivative of pie^{(2/(pix)}) ?

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

What is the first derivative of pie^{(2/(pix)}) ?

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

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Popular >

\frac{d}{d x} (π e^{(\frac{2}{π x})})

- \frac{2 e ^{\frac{2}{π x}}}{x ^{2}}

Solution steps

\frac{d}{d x} (π e^{(\frac{2}{π x})})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= π \frac{d}{d x} (e^{\frac{2}{π x}})

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{40}{0.01 x ^{2} + 1}

\frac{\partial}{\partial z} (2 z^{10})

\int \frac{13}{x} d x

\frac{\partial}{\partial x} (- 2 x y z^{- 1})

x \to - 5 lim (\frac{x}{x + 4})

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