Calculus 1 (Math 111) -After Midterm To Quiz 3

Compute derivatives of logarithmic and inverse trigonometric functions: Students will be able to find derivatives of functions involving logarithms and inverse trigonometric expressions.

Solve related rates problems: Students will apply differentiation techniques to solve real-world problems where multiple quantities change with respect to time.

Understand and use hyperbolic functions: Students will learn about hyperbolic functions, their properties, and how to differentiate them.

Identify maximum and minimum values of functions: Students will use calculus methods to locate and classify extrema (maximum and minimum points) of functions.

Apply the Mean Value Theorem: Students will understand and utilize the Mean Value Theorem to analyze function behavior over intervals.

Interpret what derivatives tell us about the shape of graphs: Students will use first and second derivatives to determine intervals of increase/decrease, concavity, and inflection points, thereby understanding the overall shape of a graph.