What is the derivative of 2e^{(x-5)} ?

The derivative of 2e^{(x-5)} is 2e^{x-5}

What is the first derivative of 2e^{(x-5)} ?

The first derivative of 2e^{(x-5)} is 2e^{x-5}

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derivative of

2 e^{(x - 5)}

2 e^{x - 5}

Solution steps

\frac{d}{d x} (2 e^{x - 5})

Take the constant out:

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

= 2 \frac{d}{d x} (e^{x - 5})

Apply the chain rule:

e^{x - 5} \frac{d}{d x} (x - 5)

= e^{x - 5} \frac{d}{d x} (x - 5)

\frac{d}{d x} (x - 5) = 1

= 2 e^{x - 5} \cdot 1

Simplify

= 2 e^{x - 5}

What is the derivative of 2e^{(x-5)} ?
The derivative of 2e^{(x-5)} is 2e^{x-5}
What is the first derivative of 2e^{(x-5)} ?
The first derivative of 2e^{(x-5)} is 2e^{x-5}