Respuesta :

Space

Answer:

C. -2

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 cot(x) = -csc²(x)

Step-by-step explanation:

Step 1: Define

g(x) = cot(x)

g'(π/4) is x = π/4

Step 2: Differentiate

  1. Differentiate:                    g'(x) = -csc²(x)

Step 3: Evaluate

  1. Substitute in x:                    g'(π/4) = -csc²(π/4)
  2. Evaluate:                             g'(π/4) = -2

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