= Let f(x) = x + 3. Calculate the difference quotient f(22+h) – f(22) for h h = .1 = h= .01 = h = = -.01 ん h -.1 If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at 1 x = 22 was for some integer n what would you expect n to be? n n =
9 The point P(16, 6) lies on the curve y = væ+2. If Q is the point (2, VT +2), find the slope of the secant line PQ for the following values of 2. If x = 16.1, the slope of PQ is: = and if x = 16.01, the slope of PQ is: and if x = 15.9, the slope of PQ is: and if x = 15.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(16,6).
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