APPM 1350 Midterm: appm1350fall2016exam2
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On the front of your bluebook, please write: your name, student id, lecture number, instructor name, and a grading key for problems 1ab, 1cd, 2, 3, 4, and 5. This exam is worth 100 points and has 5 questions on both sides of this paper: include this exam sheet in your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work and simplify your answers! Be sure to simplify your answers. (a) let f (x) = tan2( x). Find f (1/4) x2 (b) find the derivative of g(x) = 3x2 + 4 at x = 2. (c) consider the curve ax2 + by2 = 40: use implicit differentiation to nd dy/dx, suppose the curve has the tangent line y = 2 + 2. 9 (x + 1) at the point ( 1, 2). Find the (d) find the derivative of y = x2|x 1|.
