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Popular >

derivative of-5e^{-x/3}+2

Solution

derivative of

- 5 e^{- \frac{x}{3}} + 2

Solution

\frac{5}{3} e^{- \frac{x}{3}}

Solution steps

\frac{d}{d x} (- 5 e^{- \frac{x}{3}} + 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (5 e^{- \frac{x}{3}}) + \frac{d}{d x} (2)

\frac{d}{d x} (5 e^{- \frac{x}{3}}) = - \frac{5}{3} e^{- \frac{x}{3}}

\frac{d}{d x} (2) = 0

= - (- \frac{5}{3} e^{- \frac{x}{3}}) + 0

Simplify

= \frac{5}{3} e^{- \frac{x}{3}}

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Frequently Asked Questions (FAQ)

What is the derivative of-5e^{-x/3}+2 ?
The derivative of-5e^{-x/3}+2 is 5/3 e^{-x/3}
What is the first derivative of-5e^{-x/3}+2 ?
The first derivative of-5e^{-x/3}+2 is 5/3 e^{-x/3}