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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d t} (10 sin (t))

\frac{d ^{2} y}{d t ^{2}} + 4 \frac{d y}{d t} + 4 y = 0

z \to 1 + i lim (z^{2} - 5 z + 10)

y^{^{'}} = 2 y - 4 x

\frac{d x}{d t} + 3 = 0

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