Math Problem Statement
f^' (x),f^'' (x) and f^''' (x), if
f(x)=ln〖[(〗 x^2+4)(x^3+8x–〖3)〗^2 f(x) (x^3+〖2x〗^2+3)/(5x-2)(〖3x〗^2+2)
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Logarithmic Functions
Chain Rule
Quotient Rule
Product Rule
Formulas
Derivative of ln(u) = 1/u * du/dx
Quotient Rule: (u/v)' = (v * du/dx - u * dv/dx) / v^2
Product Rule: (uv)' = u'v + uv'
Theorems
Chain Rule
Quotient Rule
Product Rule
Suitable Grade Level
Undergraduate Mathematics or Advanced High School Calculus
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