What is the derivative of e^{2x-6}-e ?

The derivative of e^{2x-6}-e is 2e^{2x-6}

What is the first derivative of e^{2x-6}-e ?

The first derivative of e^{2x-6}-e is 2e^{2x-6}

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\frac{d}{d x} (e^{2 x - 6} - e)

2 e^{2 x - 6}

Solution steps

\frac{d}{d x} (e^{2 x - 6} - e)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{2 x - 6}) - \frac{d e}{d x}

\frac{d}{d x} (e^{2 x - 6}) = e^{2 x - 6} \cdot 2

\frac{d e}{d x} = 0

= e^{2 x - 6} \cdot 2 - 0

Simplify

= 2 e^{2 x - 6}

What is the derivative of e^{2x-6}-e ?
The derivative of e^{2x-6}-e is 2e^{2x-6}
What is the first derivative of e^{2x-6}-e ?
The first derivative of e^{2x-6}-e is 2e^{2x-6}