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

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Essay

(a) Find the slope of the tangent line to the curve y=x1x 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).

Grasp the rationale behind non-advertising by purely competitive firms.
Identify and interpret key curves (total cost, total revenue, marginal revenue) related to a purely competitive firm.
Calculate and analyze profit maximization strategies for purely competitive firms.
Distinguish between short-run and long-run profit maximization and loss minimization strategies.

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