MAT 212 Study Guide - Quiz Guide: Product Rule, Partial Fraction Decomposition, Asymptote
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Provide a generalization to each of the key terms listed in this section. If the following occurs: then the following would occur: y = f (x) g (x) = f (x) g (x) y = f (x) g (x) + f (x) g (x) What is the general product rule? d dx. [f (x) g (x)] = [f (x) g (x)] = f (x) g (x) + f (x) g (x) What is the product rule in leibniz" notation? d (uv) dx du dx (v) + u(cid:18) dv dx(cid:19) = u v + uv . Major identities sin2 (x) + cos2 (x) = 1. Even-odd identities sin = cos = tan = 1 sin cos csc = sec = cot = 1 tan sin ( x) = sin (x) cos ( x) = cos (x) tan ( x) = tan (x) csc ( x) = csc (x) sec ( x) = sec (x) cot ( x) = cot (x)
