Question

Let y =tan(a).

dy
What is the value of at C=
da
Зп
?
4
Choose 1 answer:
1
1
2

Answer 1

C. 2

General Formulas and Concepts:

Algebra I

• Function Notation

Precalculus

• Unit Circle

Calculus

• Derivatives
• Derivative Notation
• Derivative of tan(x) = sec²(x)

Explanation:

Step 1: Define

y = tan(x)

x = 3π/4

Step 2: Differentiate

1. Differentiate: y' = sec²(x)

Step 3: Evaluate

1. Substitute in x: y'(3π/4) = sec²(3π/4)
2. Evaluate: y'(3π/4) = 2