The function f is continuous for all real numbers and has first derivative function given below. F'(x) = 64-4x² (4-x²)2/3 (a) There are four critical points of f. Find all four. Enter your answers from smallest to largest. (smallest critical pt -- cp1) X = X = X = (largest critical pt -- cp4) (b) Find the signs of f' on each subinterval for the critical points you found in part (a). cp1---Select--- ✓ cp2 --Select--- (c) Use the signs in part (b) to classify each critical point as a local maximum, local minimum, or ne cp1 --Select--- ✓ cp2 -Select--- ✓ X = --Select-- cp3-Select--- CD4 I Select V. cp3--Select-- cp4 --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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The function f is continuous for all real numbers and has first derivative function given below.
F'(x) =
64-4x²
(4-x²)2/3
(a) There are four critical points of f. Find all four. Enter your answers from smallest to largest.
(smallest critical pt -- cp1)
X =
X =
X =
(largest critical pt -- cp4)
(b) Find the signs of f' on each subinterval for the critical points you found in part (a).
cp1 ---Select--- ✓ cp2 --Select--- ✓ cp3--Select-- ✓ cp4 --Select-- ✓
(c) Use the signs in part (b) to classify each critical point as a local maximum, local minimum, or neither.
cp1 -Select---
cp2 --Select--- V
cp3 --Select--- ✓
cp4 -Select--
X =
---Select--
Transcribed Image Text:The function f is continuous for all real numbers and has first derivative function given below. F'(x) = 64-4x² (4-x²)2/3 (a) There are four critical points of f. Find all four. Enter your answers from smallest to largest. (smallest critical pt -- cp1) X = X = X = (largest critical pt -- cp4) (b) Find the signs of f' on each subinterval for the critical points you found in part (a). cp1 ---Select--- ✓ cp2 --Select--- ✓ cp3--Select-- ✓ cp4 --Select-- ✓ (c) Use the signs in part (b) to classify each critical point as a local maximum, local minimum, or neither. cp1 -Select--- cp2 --Select--- V cp3 --Select--- ✓ cp4 -Select-- X = ---Select--
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