Math Problem Statement

The function f(x)=(6x5)e2x\left(6x-5\right)e^{-2x}has one critical number. find it. x=

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Critical Points
Product Rule
Chain Rule

Formulas

Product Rule: (u(x)v(x))' = u'(x)v(x) + u(x)v'(x)
Chain Rule: (f(g(x)))' = f'(g(x))g'(x)

Theorems

Critical Point Theorem

Suitable Grade Level

Grades 11-12, College Calculus