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

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

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

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

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

e^{2 (x - 1)} \cdot 2

Solution steps

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

Apply the chain rule:

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

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

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

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

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