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Popular Calculus >

derivative of-6/5 e^{-20x}

Solution

\frac{d}{d x} (- \frac{6}{5} e^{- 20 x})

Solution

24 e^{- 20 x}

Solution steps

\frac{d}{d x} (- \frac{6}{5} e^{- 20 x})

Take the constant out:

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

= - \frac{6}{5} \frac{d}{d x} (e^{- 20 x})

Apply the chain rule:

e^{- 20 x} \frac{d}{d x} (- 20 x)

= e^{- 20 x} \frac{d}{d x} (- 20 x)

\frac{d}{d x} (- 20 x) = - 20

= - \frac{6}{5} e^{- 20 x} (- 20)

Simplify

- \frac{6}{5} e^{- 20 x} (- 20) : 24 e^{- 20 x}

= 24 e^{- 20 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-6/5 e^{-20x} ?
The derivative of-6/5 e^{-20x} is 24e^{-20x}
What is the first derivative of-6/5 e^{-20x} ?
The first derivative of-6/5 e^{-20x} is 24e^{-20x}