tag: ap calculus
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can a function have more than two horizontal asymptotes?
the answer is no, a function cannot have more than two horizontal asymptotes. wondering why? check out this post for the answer!
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how do you find the horizontal asymptotes of a function?
on the ap calculus ab exam, it’s important to know how to find horizontal asymptotes both graphically and analytically. click this post to learn how!
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is the derivative of a function the slope?
we must be cautious in calling the derivative of a function the slope. although the two concepts are related, they are not the same. click here for more.
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what is the integral of f(x)?
integration, along with differentiation, is one of the two main operations in calculus and very important to know for the ap calculus exam. click for more!
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what is meant by differentiation in mathematics?
calculus is all about curves and differentiation allows us to figure out rates of change when the change is itself changing. click here to learn more!
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limits on the ap calculus exam: a review
limits are a great place to start studying as they are an important foundation for much of your calculus course. click here for a crash course on limits!
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how to find the slope of a line tangent to a curve
many questions on the ap calculus exam involve finding the equation of a tangent line. check out this post for a failsafe 3-step process for doing so!
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derivatives on the ap calculus ab & bc exams: a refresher
being comfortable with derivatives is very important on both the ap calculus ab and bc exams. click here for everything you need to know about derivates!
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computing the definite integral of a polynomial
we want to focus on the definite integral of a polynomial function. these arise very commonly in calculus, so here are detailed solutions to two problems, one multiple-choice and one free-response, involving a definite integral of polynomial. free-response definite integrals: you will not commonly be asked to evaluate common definite integrals on the free-response,…
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ap calculus: ab free response
the free response portion of an ap exam (also officially known as section ii) is very important, and the ap calculus ab free response is no different. in fact, the ab free response section is weighed equally with your multiple choice results. it also turns out that the structure of the ab and bc exams…