How to define natural and common logs.
How to infer the derivative of the natural log function using a calculator investigation.
Understanding the process of natural selection.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to define the derivative function f'(x).
How to use function notation to solve log equations.
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 determine the derivative of a linear function.
How to recognize and use Newton's and Leibniz's notation for the derivative.
The effects of natural resource depletion.
How to define the derivative of a function at a point x=a.
How to differentiate a composite function when the outside function is the natural logarithm.
How to derive the quadratic formula by completing the square.
How to solve a logarithmic equation by condensing one, or both, sides.