The exponential rule refers to a fundamental principle in calculus that provides a method for differentiating exponential functions. Specifically, it states that the derivative of an exponential function of the form $$f(x) = a^x$$ is given by $$f'(x) = a^x \ln(a)$$, where 'a' is a positive constant. This rule also applies to the natural exponential function, where the derivative of $$f(x) = e^x$$ simplifies to $$f'(x) = e^x$$, illustrating the unique property of the base 'e'.
congrats on reading the definition of exponential rule. now let's actually learn it.