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Question

# Use the General Power Rule where appropriate to find the derivative of the following functions. f(x)=$2^x$

Solution

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Step 1
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\begin{align*} \frac{df}{dx} &= \frac{d}{dx} (f(x)) \\ &= \frac{d}{dx} (2^x) \\ & \overset{(1)}{=} \boxed{2^x \cdot \ln{2}} \end{align*}

In $(1)$ we used the $General$ rule for the derivative of an exponential function, and not the $\textit{General Power Rule}$.

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