What is simplify-0.03e^{-4t}(dq)/(dt) ?

The solution to simplify-0.03e^{-4t}(dq)/(dt) is -(0.03\frac{dq)/(dt)}{e^{4t}}

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simplify-0.03e^{-4t}(dq)/(dt)

simplify

- 0.03 e^{- 4 t} \frac{d q}{d t}

- \frac{0.03 \frac{d q}{d t}}{e ^{4 t}}

Solution steps

- 0.03 e^{- 4 t} \frac{d q}{d t}

Apply exponent rule:

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

= - 0.03 \cdot \frac{1}{e ^{4 t}} \frac{d q}{d t}

Multiply fractions:

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

= - 0.03 \cdot \frac{1 \frac{d q}{d t}}{e ^{4 t}}

Multiply:

1 \frac{d q}{d t} = \frac{d q}{d t}

= - 0.03 \cdot \frac{\frac{d q}{d t}}{e ^{4 t}}

Multiply fractions:

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

= - \frac{\frac{d q}{d t} 0.03}{e ^{4 t}}

5 x (2 x^{0.3} y)

f^{2} x^{2} d x

1.89 \cdot 1 0^{- 4}

(e^{- b^{2}})^{2}

\frac{9 x}{e ^{3 x}} \cdot e^{- 3}

What is simplify-0.03e^{-4t}(dq)/(dt) ?
The solution to simplify-0.03e^{-4t}(dq)/(dt) is -(0.03\frac{dq)/(dt)}{e^{4t}}