Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Using the first and second derivatives to sketch the graph of a function

Finding the x-intercepts of quadratic functions

Putting a quadratic function in standard form and determining its properties

Determining the properties of a rational function and graphing it

Determining the properties of a rational function and graphing it

Determining properties of an exponential function

Determining the properties of a logarithmic function

Determining the graph of a logarithmic function