The x
... (– , –2), (– 2, 4), and (4, ), we compute f ′(c) at a convenient test point in each interval. ✦ Lets consider the values –3, 0, and 5: f ′(–3) = 3(–3)2 – 6(–3) – 24 = 27 +18 – 24 = 21 > 0 f ′(0) = 3(0)2 – 6(0) – 24 = 0 +0 – 24 = –24 < 0 f ′(5) = 3(5)2 – 6(5) – 24 = 75 – 30 – 24 = 21 > 0 ✦ Thus, we ...
... (– , –2), (– 2, 4), and (4, ), we compute f ′(c) at a convenient test point in each interval. ✦ Lets consider the values –3, 0, and 5: f ′(–3) = 3(–3)2 – 6(–3) – 24 = 27 +18 – 24 = 21 > 0 f ′(0) = 3(0)2 – 6(0) – 24 = 0 +0 – 24 = –24 < 0 f ′(5) = 3(5)2 – 6(5) – 24 = 75 – 30 – 24 = 21 > 0 ✦ Thus, we ...
TCI_MathUnitPlan_Unit 7_Geometry
... These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make soun ...
... These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make soun ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.