What is the derivative of e^{3-x^2} ?

The derivative of e^{3-x^2} is -2e^{3-x^2}x

What is the first derivative of e^{3-x^2} ?

The first derivative of e^{3-x^2} is -2e^{3-x^2}x

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

- 2 e^{3 - x^{2}} x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{3 - x^{2}} (- 2 x)

Simplify

= - 2 e^{3 - x^{2}} x

n = 4 \sum \infty \frac{1}{n ^{\frac{3}{2}}}

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

y^{^{'}} = \frac{( 6 x ^{4} + y ^{4} )}{x y ^{3}}

\int_{0}^{\frac{π}{2}} 18 cos^{5} (x) d x

\int \frac{e ^{\frac{3}{x}}}{x ^{2}} d x

What is the derivative of e^{3-x^2} ?
The derivative of e^{3-x^2} is -2e^{3-x^2}x
What is the first derivative of e^{3-x^2} ?
The first derivative of e^{3-x^2} is -2e^{3-x^2}x