`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.

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