What is the derivative of 1-e^{-x/(50}) ?

The derivative of 1-e^{-x/(50}) is 1/50 e^{-x/(50)}

What is the first derivative of 1-e^{-x/(50}) ?

The first derivative of 1-e^{-x/(50}) is 1/50 e^{-x/(50)}

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\frac{d}{d x} (1 - e^{- \frac{x}{50}})

\frac{1}{50} e^{- \frac{x}{50}}

Solution steps

\frac{d}{d x} (1 - e^{- \frac{x}{50}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{- \frac{x}{50}})

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

\frac{d}{d x} (e^{- \frac{x}{50}}) = - \frac{1}{50} e^{- \frac{x}{50}}

= 0 - (- \frac{1}{50} e^{- \frac{x}{50}})

Simplify

= \frac{1}{50} e^{- \frac{x}{50}}

What is the derivative of 1-e^{-x/(50}) ?
The derivative of 1-e^{-x/(50}) is 1/50 e^{-x/(50)}
What is the first derivative of 1-e^{-x/(50}) ?
The first derivative of 1-e^{-x/(50}) is 1/50 e^{-x/(50)}