What is the derivative of-4e^{-x/3}-2 ?

The derivative of-4e^{-x/3}-2 is 4/3 e^{-x/3}

What is the first derivative of-4e^{-x/3}-2 ?

The first derivative of-4e^{-x/3}-2 is 4/3 e^{-x/3}

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derivative of

- 4 e^{- \frac{x}{3}} - 2

\frac{4}{3} e^{- \frac{x}{3}}

Solution steps

\frac{d}{d x} (- 4 e^{- \frac{x}{3}} - 2)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 e^{- \frac{x}{3}}) - \frac{d}{d x} (2)

\frac{d}{d x} (4 e^{- \frac{x}{3}}) = - \frac{4}{3} e^{- \frac{x}{3}}

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

= - (- \frac{4}{3} e^{- \frac{x}{3}}) - 0

Simplify

= \frac{4}{3} e^{- \frac{x}{3}}

f (x) = - \frac{9}{2} x^{2} + 7 x + 7, at x = - 1

16 - x, 12, 16

\frac{d}{d x} ((3 + 4 x - x^{2})^{\frac{1}{2}})

y^{^{''}} + 4 y = 2 t^{2}

f (x) = 4 x^{2} - 2 x + 3

What is the derivative of-4e^{-x/3}-2 ?
The derivative of-4e^{-x/3}-2 is 4/3 e^{-x/3}
What is the first derivative of-4e^{-x/3}-2 ?
The first derivative of-4e^{-x/3}-2 is 4/3 e^{-x/3}