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(A) Find the Slope of the Tangent Line to the Curve

Question 12

Essay

(a) Find the slope of the tangent line to the curve y=x−1x at (1,0)y = x - \frac { 1 } { x } \text { at } ( 1,0 ) (i)
using Definition 1 from Section 2.6.(ii)
using Definition 2 from Section 2.6.(b) Using your results from part (a), find an equation of the tangent line at (1, 0).

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