Let y= fcx)=3x^+ax. Deternmine the follouwing: %3D a) Ail critical valus of x b) All relative maxima and Relative minima lusing oniy the FDT and include the tabe) C) AiI intervais on wnich f is incresing or decreasing ) Graph f lusing an appropriate window) by grapning calculator cnd verity L6), (() and label all Relahve Extrema

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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Let \( y = f(x) = 3x^2 + 2x^3 \). Determine the following:

a) All critical values of \( x \).

b) All relative maxima and relative minima using only the first derivative test (FDT) and include the table.

c) All intervals on which \( f \) is increasing or decreasing.

d) Graph \( f \) (using an appropriate window) by graphing calculator and verify (b), (c) and label all relative extrema.

Diagram description:
- The diagram is a graph with a labeled coordinate plane. The axes are marked with increments from -3 to 3 on both the x-axis and y-axis.
- The task instructs to plot the function on this graph and verify the solutions to the above questions while labeling all relative extrema.
Transcribed Image Text:Let \( y = f(x) = 3x^2 + 2x^3 \). Determine the following: a) All critical values of \( x \). b) All relative maxima and relative minima using only the first derivative test (FDT) and include the table. c) All intervals on which \( f \) is increasing or decreasing. d) Graph \( f \) (using an appropriate window) by graphing calculator and verify (b), (c) and label all relative extrema. Diagram description: - The diagram is a graph with a labeled coordinate plane. The axes are marked with increments from -3 to 3 on both the x-axis and y-axis. - The task instructs to plot the function on this graph and verify the solutions to the above questions while labeling all relative extrema.
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