First find f' and then find f. f"(x) = 4x (9x³ + x²) + 10, − f'(1) = 5, f(1) = -8. f'(x) = f(x) = J FI

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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**Task: First find \( f' \) and then find \( f \).**

Given:

\[
f''(x) = 4x - (9x^3 + x^2) + 10,
\]

\[
f'(1) = 5,
\]

\[
f(1) = -8.
\]

Find:

\[
f'(x) = \underline{\hspace{5cm}}
\]

\[
f(x) = \underline{\hspace{5cm}}
\]
Transcribed Image Text:**Task: First find \( f' \) and then find \( f \).** Given: \[ f''(x) = 4x - (9x^3 + x^2) + 10, \] \[ f'(1) = 5, \] \[ f(1) = -8. \] Find: \[ f'(x) = \underline{\hspace{5cm}} \] \[ f(x) = \underline{\hspace{5cm}} \]
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