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Popular >

derivative of 30e^{-0.0000323h}

Solution

derivative of

30 e^{- 0.0000323 h}

Solution

- 0.000969 e^{- 0.0000323 h}

Solution steps

\frac{d}{d h} (30 e^{- 0.0000323 h})

Take the constant out:

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

= 30 \frac{d}{d h} (e^{- 0.0000323 h})

Apply the chain rule:

e^{- 0.0000323 h} \frac{d}{d h} (- 0.0000323 h)

= e^{- 0.0000323 h} \frac{d}{d h} (- 0.0000323 h)

\frac{d}{d h} (- 0.0000323 h) = - 0.0000323

= 30 e^{- 0.0000323 h} (- 0.0000323)

Simplify

= - 0.000969 e^{- 0.0000323 h}

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Frequently Asked Questions (FAQ)

What is the derivative of 30e^{-0.0000323h} ?
The derivative of 30e^{-0.0000323h} is -0.000969e^{-0.0000323h}
What is the first derivative of 30e^{-0.0000323h} ?
The first derivative of 30e^{-0.0000323h} is -0.000969e^{-0.0000323h}