What is the derivative of e^{x^2-4} ?

The derivative of e^{x^2-4} is e^{x^2-4}*2x

What is the first derivative of e^{x^2-4} ?

The first derivative of e^{x^2-4} is e^{x^2-4}*2x

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\frac{d}{d x} (e^{x^{2} - 4})

e^{x^{2} - 4} \cdot 2 x

Solution steps

\frac{d}{d x} (e^{x^{2} - 4})

Apply the chain rule:

e^{x^{2} - 4} \frac{d}{d x} (x^{2} - 4)

= e^{x^{2} - 4} \frac{d}{d x} (x^{2} - 4)

\frac{d}{d x} (x^{2} - 4) = 2 x

= e^{x^{2} - 4} \cdot 2 x

\frac{d}{d x} (14 (2 x + 5)^{6})

x \to 2 - lim (\frac{4 x}{x - 2})

\int (x^{2} sin (x)) d x

x \to - 8 + lim (\frac{∣ x + 8 ∣}{x + 8})

tan (e^{x})

What is the derivative of e^{x^2-4} ?
The derivative of e^{x^2-4} is e^{x^2-4}*2x
What is the first derivative of e^{x^2-4} ?
The first derivative of e^{x^2-4} is e^{x^2-4}*2x