`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.

Asked on by enotes

Textbook Question

Chapter 2, 2.3 - Problem 59 - Calculus of a Single Variable (10th Edition, Ron Larson).
See all solutions for this textbook.

1 Answer | Add Yours

gsarora17's profile pic

gsarora17 | (Level 2) Associate Educator

Posted on


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.

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

We’ve answered 319,655 questions. We can answer yours, too.

Ask a question