Series are one of the most frustrating topics in calculus. They can be very confusing, and it can be very hard to determine if a series converges or not. If that weren’t enough, there are two types of convergence – absolute and conditional. This article will take you through what conditional convergence is and how…
Read articleThis article will teach you how to take the derivative of $4e^x$, as well as the proof for why the derivative is correct. Taking the Derivative Let us take the derivative of $\ln e^x$. Of course, $\ln e^x = x$, so the derivative should equal $1$. Using the chain rule, we get that $\frac{d}{dx} \ln…
Read articleTo find the derivative of 1, we will start by graphing the equation $y = 1$, pictured below: The derivative of a function at a point is the rate of change of a function at said specific point. In other words, it is the slope of the tangent line to the curve at a…
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Calculus is one of the most powerful tools in mathematics, used for everything from physics to economics. But what is its origins? The development of calculus was a long process, shaped by many brilliant mathematicians over thousands of years. This article explores the key moments in the history of calculus, from ancient methods to the…
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