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

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

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

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

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

- e^{x^{2}} \cdot 2 x

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

f (x) = 7 x, (7, 7)

6 e^{2 x - y} d x = d y

\int \frac{1}{x ( x - a )} d x

\frac{\partial}{\partial y} (x + ln (y))

\int_{1}^{e^{5}} x^{4} ln (x) d x

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