. Consider y(x) = 2x- 3x2. (a) Find the zeros of y(x). (b) Compute y'. d. (c) Compute ). dx (d) Find the zeros of of y'(x) and check whether y'] is positive or negative at each of the zeros of y'. (e) Using parts (a)-(d), sketch the graph of y(x) without a calculator. Indicate the zeros and the local maxima and minima of y(x) on the graph you sketch.
. Consider y(x) = 2x- 3x2. (a) Find the zeros of y(x). (b) Compute y'. d. (c) Compute ). dx (d) Find the zeros of of y'(x) and check whether y'] is positive or negative at each of the zeros of y'. (e) Using parts (a)-(d), sketch the graph of y(x) without a calculator. Indicate the zeros and the local maxima and minima of y(x) on the graph you sketch.
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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![. Consider \( y(x) = 2x^3 - 3x^2 \).
(a) Find the zeros of \( y(x) \).
(b) Compute \( y' \).
(c) Compute \( \frac{d}{dx} [y'] \).
(d) Find the zeros of \( y'(x) \) and check whether \( \frac{d}{dx} [y'] \) is positive or negative at each of the zeros of \( y' \).
(e) Using parts (a)-(d), sketch the graph of \( y(x) \) without a calculator. Indicate the zeros and the local maxima and minima of \( y(x) \) on the graph you sketch.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80d22dea-bae4-4b7d-b554-7d00f9e45802%2F76c8fb82-b354-4b62-a3d2-ba37187cd6bf%2F2ovdut1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. Consider \( y(x) = 2x^3 - 3x^2 \).
(a) Find the zeros of \( y(x) \).
(b) Compute \( y' \).
(c) Compute \( \frac{d}{dx} [y'] \).
(d) Find the zeros of \( y'(x) \) and check whether \( \frac{d}{dx} [y'] \) is positive or negative at each of the zeros of \( y' \).
(e) Using parts (a)-(d), sketch the graph of \( y(x) \) without a calculator. Indicate the zeros and the local maxima and minima of \( y(x) \) on the graph you sketch.
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