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

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

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

simplify

(e^{- 2 x}) (e^{- 2 x} - 2 x)

\frac{- 2 x + e ^{- 2 x}}{e ^{2 x}}

Solution steps

(e^{- 2 x}) (e^{- 2 x} - 2 x)

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

\frac{2}{2}

e^{- 2 l n (x + 2 y)}

11 e^{- 0.012 (0)}

\frac{3 ^{2019 + 2}}{3 ^{2019 - 1}}

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