Math Problem Statement

For the function y=(4x+3)(2x^2+7x−1), find d^2y/dx^2

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Polynomials
Second Derivative

Formulas

Power rule: d/dx(x^n) = n*x^(n-1)
Product rule: d/dx(uv) = u'v + uv'
Second derivative: d^2y/dx^2 = d(dy/dx)/dx

Theorems

Power rule for differentiation
Product rule for differentiation

Suitable Grade Level

Grades 11-12, Early College