Question

Let f(x)

csc(x).
Find 8' ).
Choose 1 answer:
А
1
B
-1
2
D
0

Answer 1

D. 0

General Formulas and Concepts:

Algebra I

• Function Notation

Pre-Calculus

• Unit Circle

Calculus

• Derivatives
• Derivative Notation
• Derivative of csc(x) = -csc(x)cot(x)

Explanation:

Step 1: Define

f(x) = csc(x)

f'(π/2) is x = π/2

Step 2: Differentiate

1. Differentiate: f'(x) = -csc(x)cot(x)

Step 3: Evaluate

1. Substitute in x: f'(π/2) = -csc(π/2)cot(π/2)
2. Evaluate: f'(π/2) = 0