Question

Let g(x) = cot(2).

Find g
(6)
Choose 1 answer:
2
B
0
-2
D
1

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 cot(x) = -csc²(x)

Explanation:

Step 1: Define

g(x) = cot(x)

g'(π/4) is x = π/4

Step 2: Differentiate

1. Differentiate: g'(x) = -csc²(x)

Step 3: Evaluate

1. Substitute in x: g'(π/4) = -csc²(π/4)
2. Evaluate: g'(π/4) = -2