1. AP Calculus AB Extrema, Inflection Points, and Propagated Error Calculator

2. 1. Identify the open intervals where the function is increasing. A.(−∞, 2.236) B.(−2.236, 2.236) C.(−∞, 3.162) D.(−3.162, 2.236)

3. 2. Find the x value of the relative extrema of f(x) = −4x² + 40x + 4. A.Relative maximum at x = 6 B.Relative minimum at x = 6 C.Relative maximum at x = 5 D.Relative minimum at x = 5

4. 3. Determine the open intervals on which the graph of y = −3x³ + 8x² + 6x − 8 is concave down or concave up. A.concave down (−∞, ∞) B.concave down (−∞,.889) concave up (.889, ∞) C.concave up (−∞, ∞) D.concave up (−∞,.889) concave down (.889, ∞)

5. 4. The measurement of the side of a square floor tile is 20 inches, with a possible error of 1/64 inch. Use differentials to approximate the possible propagated error in computing the area of the square. A.±5/16 square inches B.±1/128 square inches C.±5/8 square inches D.±5/32 square inches