Given f(x) f''(x) = = = √²* (t³3 + 4t² + 6) dt, 0 (t³ + 4t² + 6) dt, answer the follow

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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Given \( f(x) = \int_{0}^{x} (t^3 + 4t^2 + 6) \, dt \), answer the following:

\[ f''(x) = \]

(Note: The integral given is from 0 to \( x \) of the function \( t^3 + 4t^2 + 6 \) with respect to \( t \). You are asked to find the second derivative of \( f(x) \)).
Transcribed Image Text:Given \( f(x) = \int_{0}^{x} (t^3 + 4t^2 + 6) \, dt \), answer the following: \[ f''(x) = \] (Note: The integral given is from 0 to \( x \) of the function \( t^3 + 4t^2 + 6 \) with respect to \( t \). You are asked to find the second derivative of \( f(x) \)).
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