A. Explain how the tangent line evolves from the secant line and how the derivative at a point relates to the tangent line.


B. Explain how derivatives can be used to solve for the instantaneous velocity and instantaneous acceleration of an object, starting from the function representing the object’s position in time.

C. Explain how first derivatives are used to determine the relative extrema (maximum and minimum) of functions.

D. Explain how the definite integral is constructed from approximation methods and how the definite integral is used to solve for the exact area under a curve.

E. Acknowledge sources, using in-text citations and references, for content that is quoted, paraphrased, or summarized.

F. Demonstrate professional communication in the content and presentation of your submission.