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Provide an Appropriate Response y=4cot(πx2)y = 4 \cot \left( \frac { \pi x } { 2 } \right)

Question 326

Short Answer

Provide an appropriate response.
-Find the tangent to the curve y=4cot(πx2)y = 4 \cot \left( \frac { \pi x } { 2 } \right) at x=12x = \frac { 1 } { 2 } . What is the largest value the slope of the curve can ever have on the interval 2<x<0- 2 < x < 0 ?

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