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The mean-value theorem is one of the most important theorems in calculus. However, despite its roles in the development of calculus itself, the mean-value theorem can be used in estimation-related problems. This article provides some examples of how it isRead More
Just as the concept of one-sided limits in the study of limits of functions, we may find the concept of one-sided derivatives when we learn calculus. In the article The Limit of A Function at A Point, it is claimedRead More
Let f be a function defined on to and C be the curve whose equation is y = f (x). This article shows us how to determine the equation of the tangent line to C at the point K(a,b) whereRead More
Consider the real-valued function f defined by for every real number. Note that the function returns the greatest integer less than or equal to x. The graph of f is portrayed below. As can be seen from the graph, thereRead More
Let f be a real-valued function with f(x) = x + 5 for every real number x. Let’s consider the values of f(x) when the values of x are around 2, but x ≠ 2. ( See Table 1 below.)Read More