What is the derivative of 1-e^{-x/3} ?

The derivative of 1-e^{-x/3} is 1/3 e^{-x/3}

What is the first derivative of 1-e^{-x/3} ?

The first derivative of 1-e^{-x/3} is 1/3 e^{-x/3}

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\frac{d}{d x} (1 - e^{- \frac{x}{3}})

\frac{1}{3} e^{- \frac{x}{3}}

Solution steps

\frac{d}{d x} (1 - e^{- \frac{x}{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{- \frac{x}{3}})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{- \frac{x}{3}}) = - \frac{1}{3} e^{- \frac{x}{3}}

= 0 - (- \frac{1}{3} e^{- \frac{x}{3}})

Simplify

= \frac{1}{3} e^{- \frac{x}{3}}

(\frac{5}{x ^{5}})^{^{'}}

2 y = 3 x, y = 3, 2 y + 4 x = 7

\int_{0}^{\frac{π}{4}} 1 + tan (x) d x

\frac{d}{d x} (\frac{6 x}{x ^{2} - 9})

y^{^{'}} = (3 x - 2) (30 x + 29)

What is the derivative of 1-e^{-x/3} ?
The derivative of 1-e^{-x/3} is 1/3 e^{-x/3}
What is the first derivative of 1-e^{-x/3} ?
The first derivative of 1-e^{-x/3} is 1/3 e^{-x/3}