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Derivative of $$$\frac{e^{x}}{2}$$$
The calculator will find the derivative of $$$\frac{e^{x}}{2}$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the constant multiple rule $$$\frac{d}{dx} \left(c f{\left(x \right)}\right) = c \frac{d}{dx} \left(f{\left(x \right)}\right)$$$ with $$$c = \frac{1}{2}$$$ and $$$f{\left(x \right)} = e^{x}$$$:
$${\color{red}\left(\frac{d}{dx} \left(\frac{e^{x}}{2}\right)\right)} = {\color{red}\left(\frac{\frac{d}{dx} \left(e^{x}\right)}{2}\right)}$$The derivative of the exponential is $$$\frac{d}{dx} \left(e^{x}\right) = e^{x}$$$:
$$\frac{{\color{red}\left(\frac{d}{dx} \left(e^{x}\right)\right)}}{2} = \frac{{\color{red}\left(e^{x}\right)}}{2}$$Thus, $$$\frac{d}{dx} \left(\frac{e^{x}}{2}\right) = \frac{e^{x}}{2}$$$.
Answer
$$$\frac{d}{dx} \left(\frac{e^{x}}{2}\right) = \frac{e^{x}}{2}$$$A