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

The derivative of 2e^{2x-1} is 4e^{2x-1}

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

The first derivative of 2e^{2x-1} is 4e^{2x-1}

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

4 e^{2 x - 1}

Solution steps

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

Take the constant out:

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

= 2 \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

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

Simplify

= 4 e^{2 x - 1}

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What is the derivative of 2e^{2x-1} ?
The derivative of 2e^{2x-1} is 4e^{2x-1}
What is the first derivative of 2e^{2x-1} ?
The first derivative of 2e^{2x-1} is 4e^{2x-1}