this week we reviewed for our exam. we had a million packets we had to do adn it was pretty stressful. i know how to optimize pretty well. ( i did pretty good on that quiz :). Optimization is solving problems in which one seeks to minimize or maximize a real function by systematically choosing the values of real or integer variables from within an allowed set. This formulation, using a scalar, real-valued objective function, is probably the simplest example; the generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, it means finding "best available" values of some objective function given a defined domain, including a variety of different types of objective functions and different types of domains.
taking a derivative is easy. i know all the formulas used for taking the derivative.
Rolle's theorem states that a differentiable and continuous function, which attains equal values at two points, must have a point somewhere between them where the slope of the tangent line to the graph of the function is zero.
the mean value theorem: states that given a section of a smooth (differentiable) curve, there is at least one point on that section at which the derivative (slope) of the curve is equal (parallel) to the "average" derivative of the section.[1] It is used to prove theorems that make global conclusions about a function on an interval starting from local hypotheses about derivatives at points of the interval.
im having problems w/ the little things in all these these formulas and theorems like i forget something and then i mess up the entire problem so other than forgetting little things here and there im doin alright.
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