Question

D

Answer 1

Answer:

A. 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Function Notation

Pre-Calculus

• Unit Circle

Calculus

• Derivatives
• Derivative Notation
• Derivative of csc(x) = $\frac{d}{dx} [csc(x)] = -csc(x)cot(x)$

Step-by-step explanation:

Step 1: Define

$\frac{d}{dx} [csc(x)]\\x = \frac{3 \pi}{2}$

Step 2: Differentiate

1. Differentiate:                     $\frac{d}{dx} [csc(x)] = -csc(x)cot(x)$

Step 3: Evaluate

1. Substitute in x:                    $-csc(\frac{3 \pi}{2} )cot(\frac{3 \pi}{2} )$
2. Evaluate:                             $0$