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

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

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

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

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

- e^{x - 1}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= - e^{x - 1} \cdot 1

Simplify

= - e^{x - 1}

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