MTH 158 Midterm: MTH 154 Cleveland State Midterm H 154 CL2 Sample
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Let f (x) = ln( 1 2x: 2 3+4x. Which of the following is the derivative of f (x): 8xe x + 4x2e x, 8xe x, 32x3 e 2x, 8xe x, 32x3e 2x, 8x e x, 8x + e x, 32x3 + e 2x, 8xe x, 8xe x + 4x2e x. 2x ln(x2+2: 6x2+4 (x2+2)2, 4x2 (x2+2)2, 2x x2+2. Find all critical numbers of f (x) = x closest to the smallest critical number: 11, 6, 10, 2, 8, 7. Which of the following is: 9, 12, 4, 5. Which of the following is closest to the largest critical number. Remember, if there is only one critical number it is both largest and smallest: 7, 14, 9, 10, 12, 6, 8, 11, 4, 5. Find the absolute maximum and absolute minimum of the function f (x) = 162x 2 on the interval from x = 7 to x = 15.
