(a) If f(x) = x²=1, find f'(x) and ƒ"(x). x² + 1 f'(x) = f"(x) = (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". f' = 0 when f has a ---Select--- f" = 0 when f' has a ---Select--- f' is negative when fis---Select--- and positive when fis --Select--- f" is negative when f' is ---Select-- and positive when f' is ---Select--

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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(a) If f(x) =
f'(x)
=
f"(x) =
x² + 1
find f'(x) and f"(x).
(b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f".
f' = 0 when f has a ---Select---
f" = 0 when f" has a ---Select---
f' is negative when fis |---Select--- ✓ and positive when fis |---Select---
f" is negative when f' is ---Select--- and positive when f' is ---Select---
Transcribed Image Text:(a) If f(x) = f'(x) = f"(x) = x² + 1 find f'(x) and f"(x). (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". f' = 0 when f has a ---Select--- f" = 0 when f" has a ---Select--- f' is negative when fis |---Select--- ✓ and positive when fis |---Select--- f" is negative when f' is ---Select--- and positive when f' is ---Select---
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