Examines how the slope of the tangent line at a point could aid in the estimation of a function value or in estimation of the x intercepts.

When light reflects off a surface, to another point. This is the shortest distance of any reflection (when the triangles are similar) We consider a calculus proof of the topic.

Examples of optimization of profit and average cost

Using the derivative to maximize or minimize. 2 geometric examples are explored.

Examines the graphical connections between concavity and the first and second derivative

analyzing the connection between pos/neg derivatives and if f' exists or is zero at a specific value

Investigation of the antiderivative of a function. We look at how there are multiple functions that can satisfy a specific derivative.

Investigation of the antiderivative of a function. We look at how there are multiple functions that can satisfy a specific derivative.

Investigate the definition of a critical point. Examine various functions and their extrema.

How fast is a rumor spreading? This question is explored.