Math Problem Statement
Find the first and second derivatives of the function. f(x) = (3x2 + 8)7/2
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Chain Rule
Product Rule
Higher-order Derivatives
Formulas
f'(x) = 21x (3x^2 + 8)^(5/2)
f''(x) = 21 (3x^2 + 8)^(5/2) + 315x^2 (3x^2 + 8)^(3/2)
Theorems
Chain Rule
Product Rule
Suitable Grade Level
Grades 11-12