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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{x^{2} - 1}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 0 lim (ln (20))

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

2 arctan (x)

x \to - 3 lim (7 x^{2})

\int x e^{5 x^{2}} d x

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