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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

cos (3 x) cos (3 x) = cos^{1 + 1} (3 x)

= 36 e^{- x} cos^{1 + 1} (3 x)

Add the numbers:

1 + 1 = 2

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

(3 - x)^{2} \cdot (x + 3)^{2}

\frac{e ^{- 20}}{e ^{- 5}}

3.799 \cdot 1 0^{- 10}

e^{- 367.5}

(2 x) \cdot (4 x^{2})

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