MATH 112 Midterm: MATH 112 UW 112 Sp14 Midterm 1 Solution
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6 x2 (b) compute d dx (x2 + 4)3. 4x 7 d dx (x2 + 4)3. 4x 7 (c) find the second derivative y if y = 3p5x2 + 4. 3(x2 + 4)2 2x (4x 7) (x2 + 4)3 4 (4x 7)2 y = 3 (5x2 + 4) 2/3(10: let f (x) = 2x2 + 5x + 3. (a) compute using the f (x) given above. = 4x 2h+5 (b) take your answer above, make h 0 and nish computing f (x). 4x 2h + 5 = 4x + 5 f (x) = lim h 0 (c) find the equation of the tangent line to the graph of y = f (x) at the point where x = 1. The slope of the line is f (1) = 4 1 + 5 = 1. The point on the line is x = 1 and y = f (1) = 2 + 5 + 3 = 6.