Math Problem Statement
Find the derivative. y equals 5 x squared e Superscript 3 x Question content area bottom Part 1 A.StartFraction dy Over dx EndFraction equals 5 x e Superscript 3 x Baseline left parenthesis 3 x plus 2 right parenthesis nbsp StartFraction dy Over dx EndFraction equals 5 x e Superscript 3 x Baseline left parenthesis 3 x plus 2 right parenthesis nbsp B.StartFraction dy Over dx EndFraction equals 5 x e Superscript 3 x Baseline left parenthesis 2 x plus 3 right parenthesis nbsp StartFraction dy Over dx EndFraction equals 5 x e Superscript 3 x Baseline left parenthesis 2 x plus 3 right parenthesis nbsp C.StartFraction dy Over dx EndFraction equals 10 x e Superscript 3 x Baseline left parenthesis 2 x plus 3 right parenthesis StartFraction dy Over dx EndFraction equals 10 x e Superscript 3 x Baseline left parenthesis 2 x plus 3 right parenthesis D.StartFraction dy Over dx EndFraction equals 10 e x Superscript 3 x Baseline left parenthesis 3 x plus 2 right parenthesis nbsp StartFraction dy Over dx EndFraction equals 10 e x Superscript 3 x Baseline left parenthesis 3 x plus 2 right parenthesis nbsp
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Product Rule
Chain Rule
Formulas
Product rule: (d/dx)[u(x)v(x)] = u'(x)v(x) + u(x)v'(x)
Chain rule: (d/dx)f(g(x)) = f'(g(x))g'(x)
Theorems
Product rule
Chain rule
Suitable Grade Level
Grades 11-12 (Advanced Calculus)