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Popular Calculus >

simplify e^{-4x}(cos(3x))

Solution

simplify

e^{- 4 x} (cos (3 x))

Solution

\frac{cos ( 3 x )}{e ^{4 x}}

Solution steps

e^{- 4 x} (cos (3 x))

Apply exponent rule:

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

= \frac{1}{e ^{4 x}} cos (3 x)

Multiply fractions:

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

= \frac{1 \cdot cos ( 3 x )}{e ^{4 x}}

Multiply:

1 \cdot cos (3 x) = cos (3 x)

= \frac{cos ( 3 x )}{e ^{4 x}}

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(dy)/(dx)-3y=-6

f(x)=(sqrt(x)+1/(\sqrt[3]{x)})^2

Frequently Asked Questions (FAQ)

What is e^{-4x}(cos(3x)) ?
The solution to e^{-4x}(cos(3x)) is (cos(3x))/(e^{4x)}