How to define the derivative function f'(x).
How to determine the derivative of a power function.
How to compute the derivative of a polynomial function using two properties of the derivative.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to determine the derivative of a linear function.
How to recognize and use Newton's and Leibniz's notation for the derivative.
How to infer the derivative of the natural log function using a calculator investigation.
How to define the derivative of a function at a point x=a.
The definition and explanation of cladistics.
How to derive the quadratic formula by completing the square.
How to evaluate the limit of a function using continuity.
How unrelated species acquire similar traits.
How to find an antiderivative of a function.
How to interpret the derivatives of the cost and revenue functions as marginal cost and marginal revenue.
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
How to define an antiderivative.