D. 0
General Formulas and Concepts:
Algebra I
Function Notation
Pre-Calculus
Unit Circle
Calculus
DerivativesDerivative NotationDerivative of csc(x) = -csc(x)cot(x)
Step-by-step explanation:
Step 1: Define
f(x) = csc(x)
f'(π/2) is x = π/2
Step 2: Differentiate
Differentiate: f'(x) = -csc(x)cot(x)
Step 3: Evaluate
Substitute in x: f'(π/2) = -csc(π/2)cot(π/2)Evaluate: f'(π/2) = 0