Math Problem Statement

For the function f(x) = 3x3 - 4x- + 11x+8, find f''(x). Then find f'(0) and f''(5).

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f''(x)=

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Second Derivatives

Formulas

f'(x) = d/dx (3x^3 - 4x^2 + 11x + 8) = 9x^2 - 8x + 11
f''(x) = d/dx (9x^2 - 8x + 11) = 18x - 8

Theorems

Power Rule of Differentiation

Suitable Grade Level

Grades 10-12