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
DerivativesDerivative NotationDerivative of cot(x) = -csc²(x)
Step-by-step explanation:
Step 1: Define
g(x) = cot(x)
g'(π/4) is x = π/4
Step 2: Differentiate
Differentiate: g'(x) = -csc²(x)
Step 3: Evaluate
Substitute in x: g'(π/4) = -csc²(π/4)Evaluate: g'(π/4) = -2