How to use differential equations to represent exponential growth or exponential decay.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to differentiate a composite function when the outside function is exponential.
How to recognize and use Newton's and Leibniz's notation for the derivative.
How to interpret the value of a limit important in the derivative of exponential functions.
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
How to determine whether a function f(x) is continuous everywhere on its domain.