Math Problem Statement
Find the derivative of y with respect to x if y equals left parenthesis 3 x squared minus 6 x plus 6 right parenthesis e Superscript negative 5 x.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Product Rule
Exponential Functions
Formulas
Product Rule: d/dx [u(x)v(x)] = u'(x)v(x) + u(x)v'(x)
Derivative of e^kx: d/dx[e^kx] = ke^kx
Theorems
Product Rule
Suitable Grade Level
Grades 11-12 or College Calculus