Section 5.1 - The First Derivative
... • if f (c) is either a relative (local) maximum or minimum, then we can call f (c) a relative (local) extremum of f . First Derivative Test: to (1) If f 0 (x) changes from and at x = c there is a ...
... • if f (c) is either a relative (local) maximum or minimum, then we can call f (c) a relative (local) extremum of f . First Derivative Test: to (1) If f 0 (x) changes from and at x = c there is a ...
Quant I Dist Assignment 2006
... c. Limit of all non continuous function does not exist. d. A function is said to be continuous if only the limit of the function exist. e. None of the above 2) A function f(x) is continuous at c if a. F(x) at c exist b. The limit of f(x) as x approaches to c exist and equals to f(c) c. If f is non d ...
... c. Limit of all non continuous function does not exist. d. A function is said to be continuous if only the limit of the function exist. e. None of the above 2) A function f(x) is continuous at c if a. F(x) at c exist b. The limit of f(x) as x approaches to c exist and equals to f(c) c. If f is non d ...
Document
... Suppose 0,1 is countable. Since 0,1 is not a finite set, the elements of 0,1 can be listed as a sequence an n 1 . For each of the real number an , we can represent it by its infinite decimal expansion. Thus, the sequence is a1 0.a11a12 a13 a 0.a a a ...
... Suppose 0,1 is countable. Since 0,1 is not a finite set, the elements of 0,1 can be listed as a sequence an n 1 . For each of the real number an , we can represent it by its infinite decimal expansion. Thus, the sequence is a1 0.a11a12 a13 a 0.a a a ...
AP_Calculus_Study_Sheet_BC_2013
... dx d (sin 1 u ) dx d (cos 1 u ) dx d (tan 1 u ) dx d (cot 1 u ) dx d u (a ) dx d (log a u ) dx ...
... dx d (sin 1 u ) dx d (cos 1 u ) dx d (tan 1 u ) dx d (cot 1 u ) dx d u (a ) dx d (log a u ) dx ...
Exploring Mathematics Universe - KSU Web Home
... hanging were on Friday then it would not be a surprise, since he would know by Thursday night that he was to be hanged the following day, as it would be the only day left. Since the judge's sentence stipulated that the hanging would be a surprise to him, he concludes it cannot occur on Friday. He th ...
... hanging were on Friday then it would not be a surprise, since he would know by Thursday night that he was to be hanged the following day, as it would be the only day left. Since the judge's sentence stipulated that the hanging would be a surprise to him, he concludes it cannot occur on Friday. He th ...
Fundamental theorem of calculus
The fundamental theorem of calculus is a theorem that links the concept of the derivative of a function with the concept of the function's integral.The first part of the theorem, sometimes called the first fundamental theorem of calculus, is that the definite integration of a function is related to its antiderivative, and can be reversed by differentiation. This part of the theorem is also important because it guarantees the existence of antiderivatives for continuous functions.The second part of the theorem, sometimes called the second fundamental theorem of calculus, is that the definite integral of a function can be computed by using any one of its infinitely-many antiderivatives. This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.