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Derivative of $$$b^{x}$$$ with respect to $$$x$$$
The calculator will find the derivative of $$$b^{x}$$$ with respect to $$$x$$$, with steps shown.
Related calculator: Derivative Calculator
Solution
Apply the exponential rule $$$\frac{d}{dx} \left(n^{x}\right) = n^{x} \ln\left(n\right)$$$ with $$$n = b$$$:
$${\color{red}\left(\frac{d}{dx} \left(b^{x}\right)\right)} = {\color{red}\left(b^{x} \ln\left(b\right)\right)}$$Thus, $$$\frac{d}{dx} \left(b^{x}\right) = b^{x} \ln\left(b\right)$$$.
Answer
$$$\frac{d}{dx} \left(b^{x}\right) = b^{x} \ln\left(b\right)$$$A