Math Problem Statement

If f, of, x, equals, 3, x, e, start superscript, minus, x, end superscript, commaf(x)=3xe −x , then what is the value of f, prime, of, 2, question markf ′ (2)? Express your answer in simplest form with no negative exponents.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Exponential Functions

Formulas

Product rule: (uv)' = u'v + uv'
Derivative of e^x: d/dx(e^x) = e^x

Theorems

Product Rule

Suitable Grade Level

Grade 11-12 or Introductory Calculus