C. √2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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
Differentiate: y' = sec(x)tan(x)
Step 3: Evaluate
Substitute in x: y'(π/4) = sec(π/4)tan(π/4)Evaluate: y' = √2