What is the derivative of e^{x+c} ?

The derivative of e^{x+c} is e^{x+c}

What is the first derivative of e^{x+c} ?

The first derivative of e^{x+c} is e^{x+c}

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\frac{d}{d x} (e^{x + c})

e^{x + c}

Solution steps

\frac{d}{d x} (e^{x + c})

Apply the chain rule:

e^{x + c} \frac{d}{d x} (x + c)

= e^{x + c} \frac{d}{d x} (x + c)

\frac{d}{d x} (x + c) = 1

= e^{x + c} \cdot 1

Simplify

= e^{x + c}

What is the derivative of e^{x+c} ?
The derivative of e^{x+c} is e^{x+c}
What is the first derivative of e^{x+c} ?
The first derivative of e^{x+c} is e^{x+c}