August 19, 2024

AP Calculus BC Score Calculator

The AP Calculus BC Exam is a rigorous test that requires good preparation. The best way to study for it is to complete and score practice exams in order to track your progress throughout your studies. This blog post will act as your own personal AP Calculus BC score calculator and will help you on…

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AP Calculus AB Score Calculator

If you’re reading this blog you probably just finished taking an AP Calculus AB practice exam and now you’re wondering what to do. Well, firstly, congrats! That is one of the best ways to study for the AB exam, but now to get the most out of the experience you must score the exam. This…

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AP Calculus AB MCQ

The AP Calculus AB test is composed of 45 multiple choice questions (MCQs) and 6 free response questions (FRQs), each section weighing 50% of the total grade for a possible score from 1 to 5. In this guide, we will go over the strategies for the multiple choice questions and then work through two more…

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AP Calculus BC MCQ

The AP Calculus BC exam is composed of 45 multiple choice questions (MCQs) and 6 free response questions (FRQs), each section weighing 50% of the total grade for a possible score from 1 to 5. In this guide, we will go over the strategies for the multiple choice questions and then work through two hard…

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Ratio Test

The Ratio Test is a very nice tool to use for determining whether or not a series converges, but it can get a bit complicated. Here it is: If we have a series \(\sum a_n\), let there be a number \(L = \lim_{n\to\infty} \left|\dfrac{a_{n+1}}{a_n}\right|\). – If \(L < 1\), the series converges absolutely. – If…

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Integral of cos x

Because an integral is, in essence, the inverse function to a derivative, the integral of \(\cos x\) is going to be the function whose derivative is equal to \(\cos x\). To do this, let’s look at the derivatives for the basic trigonometric functions: \[ \frac{d}{dx}(\sin x) = \cos x \] \[ \frac{d}{dx}(\cos x) = -\sin…

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Derivatives of Exponential Functions

Have you ever wondered how to take the derivative of an exponential function like \(2^x\) or \(4^{3x^2}\)? In this article, we will derive the formula for taking the derivative of any exponential function whatsoever. Derivation of the Formula In order to derive the formula for the derivative of an exponential function, we first need to…

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