Math Problem Statement

If y = sin x cos x, then at x = pi/3, dy/dx = ?

a. -1/2 b. -1/4 c. 1/4 d. 1/2 e. 1

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Trigonometric Functions
Product Rule

Formulas

Product Rule: d(uv)/dx = u'v + uv'
Trigonometric Identity: cos^2(x) - sin^2(x) = cos(2x)

Theorems

Product Rule
Trigonometric Identities

Suitable Grade Level

Grades 11-12