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

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

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simplify e^{-x}(cos(x)-sin(x))

simplify

e^{- x} (cos (x) - sin (x))

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

Solution steps

e^{- x} (cos (x) - sin (x))

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (cos (x) - sin (x)) = cos (x) - sin (x)

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

\frac{- 2}{2} \cdot \frac{2}{2}

(- 3)^{3} l e f t (- 3)^{2}

\frac{d}{d n} ((s - n) ln (1 - p))

1 5^{10} \cdot \frac{1}{10 !} \cdot e^{- 15}

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