The equation has a min and a max at x = 3, and x = -3. Anytime we are looking for a local maximum, our first step is to take a look at the derivate. This is an implicit differentiation problem.ġ0. In this case, in since the second equation is y = 0, our limits are the roots of our first equation, x = -2, or x = 2ĩ. When we see ‘area bounded by,’ we need to take a definite integral between the points where the graphs intersect. However, if we factor the top and bottom, we notice that a term cancels outĨ. In this case, the denominator and numerator both evaluate to 0. This is one of our common derivatives/integrals which we should know.Īnswer: c) (This can also be reduced to a simpler form.)ħ. Since in this case, the denominator has a larger degree equation, the limit approaches 0.ĥ. If they’re different, our solution is already given. Anytime we are asked to evaluate a limit as x approaches infinity, look at the degree of the top and bottom equations. The solution to this question does not involve any calculation. Anytime we need to find the slope, our first thought should be ‘find the derivative of the function.’Ĥ. Plugging this into f(x), we can evaluate f(-2/5) = 5*(-2/5)-10 = -12Ģ.This is a fairly straightforward integral that can be solved using the power rule. Where does the following function have a local maximum?ġ.First, we evaluate g(2) to get -2/(4+1) = -2/5
What is the area bounded between the graphs ofġ0. Find the slope of the line tangent to the function f(x) at x = 2Ĩ. This is certainly not an exhaustive list of all the topics and types of questions, but just some extra AP Calculus multiple choice practice problems that can be used along with your textbook, AP Calculus review books, and old AP Exams.įor the following practice problems, Calculators are Not Permitted. The following is a handful of AP Style Multiple Choice Practice Problems (for Calc AB), with the full solutions given.
They will give you an idea of the types of problems that you may encounter, reinforce what you already know, and learn how to approach problems that you have never seen before. The best way to study for the AP Calculus Exam, whether that is Calculus AB or Calculus BC, is to do practice problems.
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