Math Problem Statement
Given the function f, of, x, equals, start fraction, 5, divided by, 6, square root of, x, end square root, end fraction, commaf(x)= 6 x
5 , find f, prime, of, x, .f ′ (x). Express your answer in radical form without using negative exponents, simplifying all fractions.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Power Rule
Radical Expressions
Formulas
f(x) = ax^n, f'(x) = a * n * x^(n-1)
x^(1/2) = √x
Theorems
Power Rule for Differentiation
Suitable Grade Level
Grades 11-12