What is the derivative of 4e^{x-3} ?

The derivative of 4e^{x-3} is 4e^{x-3}

What is the first derivative of 4e^{x-3} ?

The first derivative of 4e^{x-3} is 4e^{x-3}

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derivative of

4 e^{x - 3}

4 e^{x - 3}

Solution steps

\frac{d}{d x} (4 e^{x - 3})

Take the constant out:

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

= 4 \frac{d}{d x} (e^{x - 3})

Apply the chain rule:

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

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

\frac{d}{d x} (x - 3) = 1

= 4 e^{x - 3} \cdot 1

Simplify

= 4 e^{x - 3}

What is the derivative of 4e^{x-3} ?
The derivative of 4e^{x-3} is 4e^{x-3}
What is the first derivative of 4e^{x-3} ?
The first derivative of 4e^{x-3} is 4e^{x-3}