Math Problem Statement

Find the derivative of the function. yequals StartFraction 2 ln left parenthesis x plus 8 right parenthesis Over x squared EndFraction Question content area bottom Part 1 StartFraction dy Over dx EndFraction equalsStartFraction 2 x minus 4 x cubed ln left parenthesis x plus 8 right parenthesis Over x Superscript 4 Baseline left parenthesis x plus 8 right parenthesis EndFraction

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Quotient Rule
Chain Rule
Logarithmic Functions

Formulas

Quotient Rule: (d/dx) (u/v) = (v(du/dx) - u(dv/dx)) / v^2
Chain Rule: (d/dx) f(g(x)) = f'(g(x)) * g'(x)

Theorems

Quotient Rule
Chain Rule

Suitable Grade Level

Grades 11-12 or College-Level Calculus