AP Calculus AB Semester 1 Exam Review 2024 PDF

Summary

This is a review document for the AP Calculus AB Semester 1 exam in 2024. It covers various calculus topics, including limits, continuity, derivatives, and applications. The document is in PDF format.

Full Transcript

AP CALCULUS AB SEMESTER 1 EXAM REVIEW 2024 LIST OF TOPICS: MCQ’S 1) Evaluate Limits given a graph 2) Determine continuity give and graph or a function 3) Power Rule 4) Product Rule 5) Quotient Rule 6) Chain Rule 7) Implicit DiTerentiation (with product rule) 8) Double Chain Rule wi...

AP CALCULUS AB SEMESTER 1 EXAM REVIEW 2024 LIST OF TOPICS: MCQ’S 1) Evaluate Limits given a graph 2) Determine continuity give and graph or a function 3) Power Rule 4) Product Rule 5) Quotient Rule 6) Chain Rule 7) Implicit DiTerentiation (with product rule) 8) Double Chain Rule with Trig 9) Inverse Derivatives 10) Inverse Trig Derivatives 11) Related Rates 12) L’Hospital’s 13) Particle Motion 14) Linear Approximation 15) Mean Value Theorem 16) Increasing/Decreasing Intervals 17) Relative Max and Mins 18) Absolute Max and Mins 19) Concavity 20) Points of Inflection FRQ Implicit diTerentiation with 2nd derivative test and horizontal and vertical tangents. Sample Questions: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 21) 22) 23). Consider the curve de3ined by 3𝑥 ! − 𝑥𝑦 + 2𝑦 = −36. "# #%&$ A) Show that "$ = !%$. B) Show that there are no points where the line tangent to the curve is vertical. C) Find the two points where the curve has a horizontal tangent line. "!# D) Find the value of "$ ! at each of the points found in Part C. Determine if the curve has a relative minimum, relative maximum, or neither at each of the points. Explain your reasoning. E) Write an equation of the line tangent to the curve when 𝑥 = 0.

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