Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Product Rule
Trigonometric Functions

Formulas

Product Rule: (uv)' = u'v + uv'
Derivative of e^t: d/dt(e^t) = e^t
Derivative of sin t: d/dt(sin t) = cos t
Derivative of cos t: d/dt(cos t) = -sin t

Theorems

Product Rule
Chain Rule

Suitable Grade Level

College Calculus 1