Question

Given the following definitions: The differential of x, denoted by dx, is defined by: dx = delta x The differential of y, denoted by dy, us defined by: dy = f'(x)dx For the curve f(x) = sin(x) between x = pi/6 and x = pi/4, find the exact values of: 1) The point P1 on the curve at x = pi/6 2) The point P2 on the curve at x = pi/4 3) f'(pi/6) 4) The equation of the tangent at P1: x = pi/6 5) The point P3 on the tangent when x = pi/4 6) dx 7) dy 8) delta y between P1 and P2 (note that dy > delta y) 9) the ratio, dy (from 7) divided by dx (from 6) and compare to (3) A picture is worth a thousand words. Cheers - Ian

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