What is (d^2)/(dx^2)(e^{2x^2}) ?

The answer to (d^2)/(dx^2)(e^{2x^2}) is 4(4e^{2x^2}x^2+e^{2x^2})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2)/(dx^2)(e^{2x^2})

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

4 (4 e^{2 x^{2}} x^{2} + e^{2 x^{2}})

Solution steps

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

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

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

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

= 4 (4 e^{2 x^{2}} x^{2} + e^{2 x^{2}})

im pl i c i t \frac{d y}{d x}, e^{9 x} = sin (x + 8 y)

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

im pl i c i t \frac{d y}{d x}, 9 x = y^{2}

\int x \cdot e^{3 \cdot x} d x

x \to - 3 lim (5 (3 x^{2} - 24 x + 3))

What is (d^2)/(dx^2)(e^{2x^2}) ?
The answer to (d^2)/(dx^2)(e^{2x^2}) is 4(4e^{2x^2}x^2+e^{2x^2})