Question

Let h(x) = sec(2)

Answer 1

Answer:

D. 0

General Formulas and Concepts:

Algebra I

• Function Notation

Pre-Calculus

• Unit Circle

Calculus

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

Step-by-step explanation:

Step 1: Define

h(x) = sec(x)

Step 2: Differentiate

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

Step 3: Solve

1. Substitute in x:                    h'(0) = sec(0)tan(0)
2. Evaluate:                              h'(0) = 0