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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

((- \frac{1}{7})^{2})^{- 1}^{- 1}

e^{- a t} d t

8.679 \cdot 1 0^{- 4}

2 e^{s i n (x)} \cdot e^{- s i n (x)}

l (t^{3} e^{- 2 t} sinh (4 t))

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