Math Problem Statement

Find the derivative of the function. f(t) = 7t sin(𝜋t)

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Product Rule
Chain Rule
Trigonometric Functions

Formulas

Product Rule: (fg)' = f'g + fg'
Chain Rule: d/dt[f(g(t))] = f'(g(t)) * g'(t)
Derivative of sin(x): d/dx[sin(x)] = cos(x)

Theorems

Product Rule
Chain Rule

Suitable Grade Level

Grades 11-12