MATH10550 Midterm: MATH 10550 Exam 2 Fall 2008 Solutions
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Math 10550, exam 2 solutions: find an equation for the tangent line to f (x) = sin x cos x at the point ( . 4 (cid:1) = 2 which is the slope of the tangent line at (cid:0) . 4 is the tangent line: find the derivative of y = sin( 1 + x2). Solution. y = cos( 1 + x2) d dx x cos( 1 + x2) 1 + x2 ( 1 + x2) = cos( 1 + x2) 2 (1 + x2) 1/22x: find y if. Solution. y5 + x2y3 = 1 + x4y. 5y4y + 3x2y2y + 2xy3 = 4x3y + x4y y (5y4 + 3x2y2 x4) = 4x3y 2xy3 y = 5y4 + 3x2y2 x4: a boy is ying a kite and has let 100 feet of string out. He does not let anymore string out and does not reel any more in.
