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

The solution to (d^2)/(d^2x)(xe^{-x}) is 1/(e^x)

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simplify (d^2)/(d^2x)(xe^{-x})

simplify

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

\frac{1}{e ^{x}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{d ^{2}}{d ^{2} x} \cdot \frac{1}{e ^{x}} x

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{d ^{2} \cdot 1 \cdot x}{d ^{2} x e ^{x}}

Cancel the common factor:

d^{2}

= \frac{1 \cdot x}{x e ^{x}}

Cancel the common factor:

x

= \frac{1}{e ^{x}}

e^{- l n (1 - y)}

2.28 \cdot 1 0^{- 5} \cdot 2

- e^{- t} \cdot e^{t}

2 x (2 x)

What is (d^2)/(d^2x)(xe^{-x}) ?
The solution to (d^2)/(d^2x)(xe^{-x}) is 1/(e^x)