1. The Tangent Problem: Find the slope of the line tangent to the graph of f(x) = VX – 1+ 2 at the point (5,f(5)). To do

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1 The Tangent Problem Find The Slope Of The Line Tangent To The Graph Of F X Vx 1 2 At The Point 5 F 5 To Do 1 (139.59 KiB) Viewed 60 times

1. The Tangent Problem: Find the slope of the line tangent to the graph of f(x) = VX – 1+ 2 at the point (5,f(5)). To do so, complete these tables and answer the questions below them. Slope of the secant line PQ Point P (5,f(5) Point a (5.01, f (5.01)) (5,f(5)) (5.001, f (5.001)) (5, f (5) (5.0001, f (5.0001)) (5,f(5)) (5.00001, f (5.00001)) (5,f(5)) (5.000001, f (5.000001)) What is the limit of the slopes of the secant lines PQ as Q approaches P from the right? (What number are the numbers in the third column approaching?) Slope of the secant line PQ Point P (5,f(5)) Point Q (4.99, f (4.99)) (5, f(5)) (4.999, f (4.999)) (5,f(5)) (4.9999, f (4.9999)) (5, f (5)) (4.99999, f (4.99999)) (5,f(5)) (4.999999, f (4.999999) What is the limit of the slopes of the secant lines PQ as Q approaches P from the left? (What number are the numbers in the third column approaching?) From your answer to the two questions above, what is the slope of the line tangent to the graph of f(x) = (x – 1 + 2 at the point (5,f(5))?