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Popular >

derivative of 14450e^{-0.167t}

Solution

derivative of

14450 e^{- 0.167 t}

Solution

- 2413.15 e^{- 0.167 t}

Solution steps

\frac{d}{d t} (14450 e^{- 0.167 t})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 14450 \frac{d}{d t} (e^{- 0.167 t})

Apply the chain rule:

e^{- 0.167 t} \frac{d}{d t} (- 0.167 t)

= e^{- 0.167 t} \frac{d}{d t} (- 0.167 t)

\frac{d}{d t} (- 0.167 t) = - 0.167

= 14450 e^{- 0.167 t} (- 0.167)

Simplify

= - 2413.15 e^{- 0.167 t}

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x \to e lim (ln ∣ 3 x ∣)

25y^{''}-y=xe^{x/5}

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Frequently Asked Questions (FAQ)

What is the derivative of 14450e^{-0.167t} ?
The derivative of 14450e^{-0.167t} is -2413.15e^{-0.167t}
What is the first derivative of 14450e^{-0.167t} ?
The first derivative of 14450e^{-0.167t} is -2413.15e^{-0.167t}