Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Find \( f \).

Given:
\[ f''(x) = -2 + 24x - 12x^2 \]
\[ f(0) = 8 \]
\[ f'(0) = 12 \]

**Incorrect Solution:**

\[ f(x) = -x^2 + 4x^3 - x^4 + 14x + 8 \]

There is an indication, marked by a red "×", that the proposed solution for \( f(x) \) is incorrect.
Transcribed Image Text:**Problem Statement:** Find \( f \). Given: \[ f''(x) = -2 + 24x - 12x^2 \] \[ f(0) = 8 \] \[ f'(0) = 12 \] **Incorrect Solution:** \[ f(x) = -x^2 + 4x^3 - x^4 + 14x + 8 \] There is an indication, marked by a red "×", that the proposed solution for \( f(x) \) is incorrect.
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