The first derivative test is one of those ideas that confuses almost every student learning calculus for the first time. Here we'll learn the intuitive idea behind this test...

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Let's talk about critical points of a function. In this page I'll show you the intuition behind this concept and we'll go over a lot of examples on how to find them...

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The Calculus Problems Manual contains the essential exercises you need to know how to solve to get an outstanding grade in a calculus course.

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The linear approximation of functions is one of the most important applications of the derivative. In this page we'll see the intuitive idea behind this and some examples...

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In this page you'll find everything you need to know about solving derivatives. My goal with this page is to make you into a derivative solving machine :-)

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The rule for the derivative of the inverse of a function has always been a confusing point for students. In this page I explain this topic detail, so you can leave without any doubt about it...

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What is the derivative of an integral? This question is asked by many readers, so I decided to write a special page to explain this topic in detail. It happens that the derivative is the inverse...

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The derivative of tan(x) is 1/cos^2(x). We'll prove this fact using a simple method, which involves only the product rule.

In this page you'll find the formulas for the derivative of inverse trig functions. These formulas are quite useful and easy to forget. I'll also show you an easy method for deducing these formulas...

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Implicit differentiation confuses many calculus students. That's not because it is hard. In fact, it is just an application of the chain rule. And that's the secret...

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In this page we'll prove the formula for the derivative of ln(x), and we'll also give it some intuitive meaning. Then we'll solve tons of examples involving derivaitves of logarithms...

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