In this article, we’re going to go over how exactly you should be studying for the AP® Calculus exams, and what topics you need to know to ace the exam. This article will not be going over any practice problems, and instead will focus mostly on creating an AP® Calculus study plan and tips for acing the AP® Calculus exams.
Math can be the bane of many students’ existences. Even mentioning the words ‘AP® Calculus exam’ can send a shock of terror through any student’s heart. But don’t worry, we’ve got the tools that you’ll need to succeed. We have developed a 30-day study plan that will help you solve problems, experiment, interpret results, and support your conclusions.
The Second Fundamental Theorem of Calculus establishes a relationship between a function and its anti-derivative. Specifically, for a function f that is continuous over an interval I containing the x-value a, the theorem allows us to create a new function, F(x), by integrating f from a to x.
In this review guide, we’re going to take a look at an AP® Calculus review topic: calculating derivatives of inverse function! Calculating the derivative of an inverse function requires you to apply derivation skills you’ve already learned to a specific type of function, inverse functions, which don’t always behave in a clear-cut manner.
Integration may be the most challenging concept in AP® Calculus textbooks, but it is also arguably the most important! That being said, there is no shame in being nervous for the upcoming AP® exam. In order to help quench your fears, I will walk you through the most important concepts of solving even the most challenging of integrals. Reading this AP® Calculus review will outline all the tools you need, and hopefully calm the butterflies in your stomach.
One of the most challenging aspects of calculus is optimization. Many AP® Calculus students struggle with optimization problems because they require a bit more critical thinking than a normal problem. Reading this article will give you all the tools you need to solve optimization problems, including some examples that I will walk you through. Together, we will beat all of your fears and confusion. Let’s get started.
The Fundamental Theorem of Calculus brings together two essential concepts in calculus: differentiation and integration. There are two parts to the Fundamental Theorem: the first justifies the procedure for evaluating definite integrals, and the second establishes the relationship between differentiation and integration.
We are confident you have come across the term trapezoid rule in class or read about it in books. Have you ever wondered how it’s use? How to answer questions that require the use of the trapezoid rule and how the trapezoid rule is applied to tackle such questions?
You are probably familiar with term midpoint rule. Have you faced problems for approximating the area under a curve using the midpoint rule, and never had an idea how to go about these types of questions? Well, let us break it down for you and make it easier to understand.