Math Problem Statement

Compute the derivative of f(x) = (-3x^3 + 7x +11)(2x^2 -4) using product rule

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Product Rule

Formulas

Product rule: f'(x) = g'(x)h(x) + g(x)h'(x)
Power rule: d/dx[x^n] = nx^(n-1)

Theorems

Product Rule of Differentiation

Suitable Grade Level

Grades 11-12 / College Calculus