`y = csc(3x) + cot(3x), ((pi/6),1)` Find and evaluate the derivative of the function at the given point.

Textbook Question

Chapter 2, Review - Problem 70 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`y = cosec(3x) + cot(3x)`

`y' = -3*cosec(3x)*cot(3x) - 3*cosec^2(3x)`

  • Putting x = pi/6 we get

y' = `-3*cosex(pi/2)*cot(pi/2) - 3*cosec^2(pi/2)`

`or, y' = -3*1*0 - 3*1`

`or, y' = -3`

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