AP Calculus is a challenging course that covers a wide range of mathematical concepts and skills. One of the best ways to prepare for the AP Calculus exam is to practice with past exam questions. In this article, we will explore six AP Calculus questions that will help you test your knowledge and skills.
Whether you are a student preparing for the AP Calculus exam or a teacher looking for practice questions to use in the classroom, these questions will help you assess your understanding of key calculus concepts and improve your problem-solving skills.
Question 1:
Find the derivative of the function f(x) = 3x^2 + 4x – 2.
Question 2:
Using the Mean Value Theorem, find the value of c in the interval [1, 3] for the function g(x) = x^2 – 4x + 3.
Question 3:
Find the indefinite integral of the function h(x) = 2x^3 – 5x^2 + 3x + 1.
Question 4:
Determine the absolute maximum and minimum values of the function k(x) = x^3 – 6x^2 + 9x on the interval [0, 3].
Question 5:
Use L’Hopital’s Rule to evaluate the limit as x approaches 0 of (sin x – x) / (x^3).
By practicing with these AP Calculus questions, you can improve your problem-solving skills and gain a deeper understanding of calculus concepts. Remember to show all your work and explain your reasoning when solving each question. Good luck with your AP Calculus exam preparation!