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

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Course Learning Outcomes :
  1. Compute derivatives of logarithmic and inverse trigonometric functions: Students will be able to find derivatives of functions involving logarithms and inverse trigonometric expressions.
  2. Solve related rates problems: Students will apply differentiation techniques to solve real-world problems where multiple quantities change with respect to time.
  3. Understand and use hyperbolic functions: Students will learn about hyperbolic functions, their properties, and how to differentiate them.
  4. Identify maximum and minimum values of functions: Students will use calculus methods to locate and classify extrema (maximum and minimum points) of functions.
  5. Apply the Mean Value Theorem: Students will understand and utilize the Mean Value Theorem to analyze function behavior over intervals.
  6. 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.
These outcomes ensure students gain both computational skills and conceptual understanding necessary for further study in mathematics, science, or engineering.