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

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

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

simplify

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

\frac{1}{e ^{2 x} x}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

d^{2}

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

e^{t} e^{t}

y^{4} (- 7 x^{2}) y^{4} (- 7 x^{2})

x (x)^{2}

- e^{- x} (x + c)

(a^{2} - 2 ab + b^{2}) \cdot (a^{2} - 2 ab + b^{2})

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