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

The answer to (d^2)/(dx^2)(x^2e^{-x^2}) is 4e^{-x^2}x^4-10e^{-x^2}x^2+2e^{-x^2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

Solution steps

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

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

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

\frac{d}{d x} (2 e^{- x^{2}} x - 2 e^{- x^{2}} x^{3}) = 4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

= 4 e^{- x^{2}} x^{4} - 10 e^{- x^{2}} x^{2} + 2 e^{- x^{2}}

\int 3 + 2 x y^{2} d x

\int 5 e^{3 x + 2} d x

\int 10 tan^{3} (x) d x

\frac{d}{d x} (\frac{2 ln ( x )}{x})

f (x) = 7 \frac{x}{( 3 + x ^{2} )}, at x = 2

What is (d^2)/(dx^2)(x^2e^{-x^2}) ?
The answer to (d^2)/(dx^2)(x^2e^{-x^2}) is 4e^{-x^2}x^4-10e^{-x^2}x^2+2e^{-x^2}