Math Problem Statement

y = x cos(x) sin(x)

Solution

The equation given in the image is:

y=x⋅cos⁡(x)⋅sin⁡(x)y = x \cdot \cos(x) \cdot \sin(x)

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Math Problem Analysis

Mathematical Concepts

Calculus
Trigonometry
Product Rule
Differentiation

Formulas

Product Rule: (uv)' = u'v + uv'
Trigonometric Identities: sin(2x) = 2sin(x)cos(x)

Theorems

Product Rule for Differentiation

Suitable Grade Level

Grades 11-12

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