Math Problem Statement

f(x)=(1+x^2)^(-1/3) can u derivitivethat 6 times, just say the answer

Solution

The sixth derivative of f(x)=(1+x2)1/3f(x) = (1 + x^2)^{-1/3} is:

f(6)(x)=60x6+120x4+120x2+24(1+x2)133f^{(6)}(x) = \frac{60x^6 + 120x^4 + 120x^2 + 24}{(1 + x^2)^{\frac{13}{3}}}

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Higher Order Derivatives

Formulas

f^{(n)}(x) for nth derivative

Theorems

Leibniz rule for differentiation

Suitable Grade Level

Grades 11-12