What is the derivative of e^{1-x^2} ?

The derivative of e^{1-x^2} is -2e^{1-x^2}x

What is the first derivative of e^{1-x^2} ?

The first derivative of e^{1-x^2} is -2e^{1-x^2}x

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derivative of

e^{1 - x^{2}}

- 2 e^{1 - x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{1 - x^{2}} (- 2 x)

Simplify

= - 2 e^{1 - x^{2}} x

\frac{\partial}{\partial z} (y \cdot arctan (\frac{x}{z}))

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

\frac{\partial}{\partial y} (x^{y})

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

\frac{d}{d z} (\frac{a z ^{2}}{a ^{2} + z ^{2}})

What is the derivative of e^{1-x^2} ?
The derivative of e^{1-x^2} is -2e^{1-x^2}x
What is the first derivative of e^{1-x^2} ?
The first derivative of e^{1-x^2} is -2e^{1-x^2}x