A. 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Function Notation
Pre-Calculus
Unit Circle
Calculus
Derivatives
Derivative Notation
Derivative of csc(x) =
![\frac{d}{dx} [csc(x)] = -csc(x)cot(x)](/tpl/images/1005/1685/8248a.png)
Step-by-step explanation:
Step 1: Define
![\frac{d}{dx} [csc(x)]\\x = \frac{3 \pi}{2}](/tpl/images/1005/1685/895d0.png)
Step 2: Differentiate
Differentiate:
![\frac{d}{dx} [csc(x)] = -csc(x)cot(x)](/tpl/images/1005/1685/8248a.png)
Step 3: Evaluate
Substitute in x:
![-csc(\frac{3 \pi}{2} )cot(\frac{3 \pi}{2} )](/tpl/images/1005/1685/8d6d1.png)
Evaluate:
![0](/tpl/images/1005/1685/ae722.png)