What is e^{(-2x)}(Csin(3x)-2cos(3x)) ?

The solution to e^{(-2x)}(Csin(3x)-2cos(3x)) is (3inxCs-2cos(3x))/(e^{2x)}

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simplify e^{(-2x)}(Csin(3x)-2cos(3x))

simplify

e^{(- 2 x)} (C s in (3 x) - 2 cos (3 x))

\frac{3 in x C s - 2 cos ( 3 x )}{e ^{2 x}}

Solution steps

e^{(- 2 x)} (C s in (3 x) - 2 cos (3 x))

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} (3 in x C s - 2 cos (3 x))

Multiply fractions:

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

= \frac{1 \cdot ( C s in \cdot 3 x - 2 cos ( 3 x ) )}{e ^{2 x}}

1 \cdot (C s in \cdot 3 x - 2 cos (3 x)) = 3 in x C s - 2 cos (3 x)

= \frac{3 in x C s - 2 cos ( 3 x )}{e ^{2 x}}

e^{- l n (5 x^{6})}

e^{- 2} (- 1)

e^{- 0.0287}

(2)^{2 t a n (x) - 3}

What is e^{(-2x)}(Csin(3x)-2cos(3x)) ?
The solution to e^{(-2x)}(Csin(3x)-2cos(3x)) is (3inxCs-2cos(3x))/(e^{2x)}