The number of points in the rectangle which lie on the curve and at which the tangent…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The number of points in the rectangle {(x,y)∣−12≤x≤12 and −3≤y≤3}\{(x,y) \mid -12 \leq x \leq 12 \text{ and } -3 \leq y \leq 3\} which lie on the curve y=x+sin⁡xy = x + \sin x and at which the tangent to the curve is parallel to the x-axis is (a) 0 (b) 2 (c) 4 (d) 8

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