Respuesta :

Space

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) = [tex]\frac{d}{dx} [csc(x)] = -csc(x)cot(x)[/tex]

Step-by-step explanation:

Step 1: Define

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

Step 2: Differentiate

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

Step 3: Evaluate

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

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