MATH 1190 • Exam 3 Practice Center

INTERPRETING THE GRAPH OF A DERIVATIVE

Construct a possible graph of f

Drag the four blue points vertically. Their x-positions stay fixed, and a smooth cubic passes through them. Match the increasing/decreasing behavior, extrema, concavity, and f(0)=0 shown by the derivative graph.

Exam mode includes every topic, including sketching from a formula and graph investigation from f′, with a 70-minute suggested time limit. Feedback is withheld until submission. Your answers remain on this device; no account or server is needed.

Topics assessed

This practice site follows the eight learning outcomes in your Exam 3 study guide. Not every topic is guaranteed to appear on the actual exam.

Using the answer editor

Type or select mathematical symbols with the MathLive editor. For intervals, use notation such as (-infinity,2); for multiple values, separate them with commas. When a question asks for a word or classification, enter the requested word.

Algebraic answers are checked using symbolic comparison where available. Numeric and structural checks are used for some question types; an inconclusive result is marked for review rather than automatically wrong. The practice exam is formative and is not a substitute for showing work.

Source

Adapted from the uploaded MATH 1190 Exam 3 Study Guide, including graph interpretation, extrema, first/second derivative tests, L’Hôpital limits, related rates, optimization, and theorem explanations. Problems use new randomized values.

Calculus I · Exam 3 Practice Center

Choose a practice topic

Construct a possible graph of f

Topics assessed

Using the answer editor

Source