What is the derivative of 1-e^{-2x} ?

The derivative of 1-e^{-2x} is 2e^{-2x}

What is the first derivative of 1-e^{-2x} ?

The first derivative of 1-e^{-2x} is 2e^{-2x}

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derivative of

1 - e^{- 2 x}

2 e^{- 2 x}

Solution steps

\frac{d}{d x} (1 - e^{- 2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{- 2 x})

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

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

= 0 - (- 2 e^{- 2 x})

Simplify

= 2 e^{- 2 x}

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What is the derivative of 1-e^{-2x} ?
The derivative of 1-e^{-2x} is 2e^{-2x}
What is the first derivative of 1-e^{-2x} ?
The first derivative of 1-e^{-2x} is 2e^{-2x}