Consider the following.y =(a) Find y' = f'(x).f'(x) =X – 1(b) Find the critical value.X =(c) Find the critical point.(х, у) 3D(d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.)Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.)(e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusionswith a graphing utility. (If an answer does not exist, enter DNE.)(x, v) = (relative maximaG, ) =([relative minimahorizontal point of inflection (x, y) = (|Need Help?Watch ItRead ItSubmit Answer

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Consider the following. (a) Find y' = f'(x). f'(x) = x – 1 (b) Find the critical value. x = (c) Find the critical point. (x, y) = (| (х, у) -

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Consider the following.
y =
(a) Find y' = f'(x).
f'(x) =
X – 1
(b) Find the critical value.
X =
(c) Find the critical point.
(х, у) 3D
(d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.)
Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.)
(e) Classify the critical point as a relative maximum, a relative minimum, or a horizontal point of inflection. In each case, check your conclusions
with a graphing utility. (If an answer does not exist, enter DNE.)
(x, v) = (
relative maxima
G, ) =([
relative minima
horizontal point of inflection (x, y) = (|
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