Respuesta :

Space

Answer:

D. 0

General Formulas and Concepts:

Algebra I

  • Function Notation

Pre-Calculus

  • Unit Circle

Calculus

Derivatives

  • Derivatives
  • Derivative Notation

Derivative of sec(x) = sec(x)tan(x)

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle h(x) = \sec x[/tex]

Step 2: Differentiate

  1. [Function] Apply Trigonometric Differentiation:
    [tex]\displaystyle h'(x) = \sec x \tan x[/tex]

Step 3: Solve

  1. [Derivative] Substitute in x:
    [tex]\displaystyle h'(0) = \sec 0 \tan 0[/tex]
  2. Evaluate [Unit Circle]:
    [tex]\displaystyle h'(0) = 0[/tex]

∴ h'(0) is equal to 0.

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Learn more about differentiation: https://brainly.com/question/27163229

Learn more about Calculus: https://brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation