Math Problem Statement
Derivative of C1e^-3tcos4t+C2e^-3tsin4t
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Trigonometric Functions
Exponential Functions
Formulas
Product rule: (fg)' = f'g + fg'
Derivative of e^kt: d/dt(e^kt) = ke^kt
Derivative of cos(kt): d/dt(cos(kt)) = -k sin(kt)
Derivative of sin(kt): d/dt(sin(kt)) = k cos(kt)
Theorems
Product Rule
Derivatives of Exponential and Trigonometric Functions
Suitable Grade Level
Undergraduate (Calculus I or II)