MTH 161 Study Guide - Quiz Guide: Tangent, Linearization, Product Rule
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Provide a generalization to each of the key terms listed in this section. X y2 y1 x2 x1 f (a + h) (f (a)) (a + h) (a) f (a + h) f (a) h. If you have h tending towards 0, then that notes that (a+h, f (a+h)) will be collapsing in (a, f (a)), which can be written by the following limit: lim h 0 f (a + h) f (a) h. The instantaneous rate of change, which is also known as the tangent line"s slope, of f (x) when x = a. Di erentiation occurs when a limit exists, which would make f di erentiable at a and a function while at x = a would require to nd its proper derivative at the following point: (a, f (a)) The following is the proper equation a function"s tangent line while at x = a: y f (a) = f (a) (x a)
