Answer:

General Formulas and Concepts:
Calculus
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
![\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)](https://img.qammunity.org/2015/formulas/mathematics/high-school/2l408t9ucayob5xkw5dsfcngxuati592ud.png)
Derivative Rule [Quotient Rule]:
![\displaystyle (d)/(dx) [(f(x))/(g(x)) ]=(g(x)f'(x)-g'(x)f(x))/(g^2(x))](https://img.qammunity.org/2017/formulas/mathematics/college/d69aojmrqnossllpy0rf1jyccfr0tim5v9.png)
Explanation:
Step 1: Define
Identify

Step 2: Differentiate
- Derivative Property [Multiplied Constant]:
![\displaystyle y' = (1)/(3) (d)/(dx)[(\csc x)/(\sin x)]](https://img.qammunity.org/2017/formulas/mathematics/college/t7mmpjin7myjy1ov9c214fa7aa3glz2u3g.png)
- Derivative Rule [Quotient Rule]:

- Trigonometric Differentiation:

- Factor:

- Simplify:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation