Respuesta :

Space

Answer:

C. 2

General Formulas and Concepts:

Algebra I

  • Function Notation

Precalculus

  • Unit Circle

Calculus

  • Derivatives
  • Derivative Notation
  • Derivative of tan(x) = sec²(x)

Step-by-step explanation:

Step 1: Define

y = tan(x)

x = 3π/4

Step 2: Differentiate

  1. Differentiate:                    y' = sec²(x)

Step 3: Evaluate

  1. Substitute in x:                    y'(3π/4) = sec²(3π/4)
  2. Evaluate:                             y'(3π/4) = 2

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