What is the derivative of (3-e^{-x}^2) ?

The derivative of (3-e^{-x}^2) is 2(3-e^{-x})e^{-x}

What is the first derivative of (3-e^{-x}^2) ?

The first derivative of (3-e^{-x}^2) is 2(3-e^{-x})e^{-x}

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

2 (3 - e^{- x}) e^{- x}

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (3 - e^{- x}) e^{- x}

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