`y = cot^2(sin( theta))` Find the derivative of the function.

2 Answers

gsenviro's profile pic

gsenviro | College Teacher | (Level 1) Educator Emeritus

Posted on

`y' = d/(d(theta))cot^2(sin(theta))`

`= 2 cot (sin(theta)) * d/(d(theta)) [cot(sin(theta))]`

`= 2cot(sin(theta))*(-csc^2(sin(theta)))*d/(d(theta)) (sin(theta))`

`= 2 cot(sin(theta))*(-csc^2(sin(theta)))*cos(theta)`

`= -2 cos(theta)*cot(sin(theta))*csc^2(sin(theta))`

vineetchaurasia's profile pic

vineetchaurasia | (Level 1) eNoter

Posted on

This problem can be solved by substituting the variables with triple substitution then applying the formulas.

Detailed solution is given is image uploaded.

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