Florida Atlantic University
Calculus with Analytic Geometry 1 Test 2—July 2, 2010name: Show your work. Graphing calculators are not permitted. Find, by implicit differentiation, the first and second derivatives, . y ' , y '' , at the point (4, 4) if the variables are related by the equation x + y =4 . Derive an expression for the derivative of tan-1 x, and find . d dx tan -1 2x . ................
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