Respuesta :

Space

Answer:

D. 0

General Formulas and Concepts:

Algebra I

  • Function Notation

Pre-Calculus

  • Unit Circle

Calculus

  • Derivatives
  • Derivative Notation
  • Derivative of csc(x) = -csc(x)cot(x)

Step-by-step explanation:

Step 1: Define

f(x) = csc(x)

f'(π/2) is x = π/2

Step 2: Differentiate

  1. Differentiate:                    f'(x) = -csc(x)cot(x)

Step 3: Evaluate

  1. Substitute in x:                    f'(π/2) = -csc(π/2)cot(π/2)
  2. Evaluate:                              f'(π/2) = 0

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