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 sec(x) = sec(x)tan(x)

Step-by-step explanation:

Step 1: Define

y = sec(x)

x = π/4

Step 2: Differentiate

  1. Differentiate:                    y' = sec(x)tan(x)

Step 3: Evaluate

  1. Substitute in x:                    y'(π/4) = sec(π/4)tan(π/4)
  2. Evaluate:                             y' = √2

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