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

The derivative of 2e^x-1 is 2e^x

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

The first derivative of 2e^x-1 is 2e^x

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

2 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= 2 e^{x} - 0

Simplify

= 2 e^{x}