Math Problem Statement
Given the function f, of, x, equals, minus, start fraction, 3, divided by, 4, end fraction, x, to the power 4 , plus, one fifth, x, to the power minus 4 , minus, one fifth, x, to the power 5f(x)=−43x4+51x−4−51x5, find f, start superscript, prime, prime, end superscript, of, xf′′(x) in simplified form.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Power Rule
Formulas
Derivative of x^n is n x^(n-1)
Second derivative f''(x) is the derivative of f'(x)
Theorems
Power Rule for Derivatives
Suitable Grade Level
Grades 11-12 or College Level