What is the derivative of 2190*e^{-0.3x} ?

The derivative of 2190*e^{-0.3x} is -657e^{-0.3x}

What is the first derivative of 2190*e^{-0.3x} ?

The first derivative of 2190*e^{-0.3x} is -657e^{-0.3x}

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\frac{d}{d x} (2190 \cdot e^{- 0.3 x})

- 657 e^{- 0.3 x}

Solution steps

\frac{d}{d x} (2190 e^{- 0.3 x})

Take the constant out:

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

= 2190 \frac{d}{d x} (e^{- 0.3 x})

Apply the chain rule:

e^{- 0.3 x} \frac{d}{d x} (- 0.3 x)

= e^{- 0.3 x} \frac{d}{d x} (- 0.3 x)

\frac{d}{d x} (- 0.3 x) = - 0.3

= 2190 e^{- 0.3 x} (- 0.3)

Simplify

= - 657 e^{- 0.3 x}

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What is the derivative of 2190*e^{-0.3x} ?
The derivative of 2190*e^{-0.3x} is -657e^{-0.3x}
What is the first derivative of 2190*e^{-0.3x} ?
The first derivative of 2190*e^{-0.3x} is -657e^{-0.3x}