Math Problem Statement

f(x)=(squre root x^2+4 -3x^2)^3/2

Solution

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Math Problem Analysis

Mathematical Concepts

Functions
Square Roots
Exponents
Differentiation
Simplification

Formulas

f(x) = (sqrt(x^2 + 4) - 3x^2)^(3/2)
Chain Rule: d/dx [g(h(x))] = g'(h(x)) * h'(x)
Product Rule: d/dx [u(x)v(x)] = u'(x)v(x) + u(x)v'(x)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 or early university calculus

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