Math Problem Statement
Given the function f, of, x, equals, minus, start fraction, 1, divided by, 2, x, cubed, end fraction, commaf(x)=− 2x 3
1 , find f, prime, of, x, .f ′ (x). Express your answer in simplest form without using negative exponents.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Power Rule
Formulas
Power Rule: If f(x) = ax^n, then f'(x) = a * n * x^(n-1)
Negative Exponents: x^-n = 1/x^n
Theorems
Power Rule for Differentiation
Suitable Grade Level
Grades 11-12 or Early College