`y = (1 + csc(x))/(1 - csc(x)), (pi/6,-3)` Evaluate the derivative of the function at the given point. Use a graphing utility to verify your result.

Expert Answers
gsarora17 eNotes educator| Certified Educator


differentiating by applying the quotient rule,





Now let us evaluate the derivative at x=pi/6

We know that csc(pi/6)=2 and cot(pi/6)=

Plug in the above values in y',



Graph of the derivative is attached.

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