What is the derivative of y=e^{1/(x^2)}+1/(e^{x^2)} ?

The derivative of y=e^{1/(x^2)}+1/(e^{x^2)} is -(2e^{1/(x^2)})/(x^3)-2e^{-x^2}x

What is the first derivative of y=e^{1/(x^2)}+1/(e^{x^2)} ?

The first derivative of y=e^{1/(x^2)}+1/(e^{x^2)} is -(2e^{1/(x^2)})/(x^3)-2e^{-x^2}x

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derivative of

y = e^{\frac{1}{x ^{2}}} + \frac{1}{e ^{x^{2}}}

- \frac{2 e ^{\frac{1}{x ^{2}}}}{x ^{3}} - 2 e^{- x^{2}} x

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (\frac{1}{e ^{x^{2}}}) = - 2 e^{- x^{2}} x

= - \frac{2 e ^{\frac{1}{x ^{2}}}}{x ^{3}} - 2 e^{- x^{2}} x

\frac{d}{d x} (\frac{2 x}{x + 20})

y d y = - x d x

\frac{\partial}{\partial x} (x^{2} - 0.1 \cdot cos (6 \cdot x))

\frac{d y}{d x} = 3 + e^{- 3 x + y + 4}

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

What is the derivative of y=e^{1/(x^2)}+1/(e^{x^2)} ?
The derivative of y=e^{1/(x^2)}+1/(e^{x^2)} is -(2e^{1/(x^2)})/(x^3)-2e^{-x^2}x
What is the first derivative of y=e^{1/(x^2)}+1/(e^{x^2)} ?
The first derivative of y=e^{1/(x^2)}+1/(e^{x^2)} is -(2e^{1/(x^2)})/(x^3)-2e^{-x^2}x