Question

Let y = sec(x).

dy
TT
What is the value of at =
?
dac 4
Choose 1 answer:
1
1
2
V2

Answer 1

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)

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