What is (36e^{-x}cos(2x))(sin(3x)) ?

The solution to (36e^{-x}cos(2x))(sin(3x)) is (36cos(2x)sin(3x))/(e^x)

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simplify (36e^{-x}cos(2x))(sin(3x))

simplify

(36 e^{- x} cos (2 x)) (sin (3 x))

\frac{36 cos ( 2 x ) sin ( 3 x )}{e ^{x}}

Solution steps

(36 e^{- x} cos (2 x)) (sin (3 x))

Apply exponent rule:

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

= 36 \cdot \frac{1}{e ^{x}} cos (2 x) sin (3 x)

Multiply fractions:

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

= \frac{1 \cdot 36 cos ( 2 x ) sin ( 3 x )}{e ^{x}}

Multiply the numbers:

1 \cdot 36 = 36

= \frac{36 cos ( 2 x ) sin ( 3 x )}{e ^{x}}

((5)^{2} - (12)^{2})^{- 1}

e^{- 0.72 \cdot 2}

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

(583 x 1 0^{- 9}) x (1.8 x^{- 6})

What is (36e^{-x}cos(2x))(sin(3x)) ?
The solution to (36e^{-x}cos(2x))(sin(3x)) is (36cos(2x)sin(3x))/(e^x)