Qw.q121.pls help. I need the y and x axis points. -4derivative414. For the function plotted at right, sketch adetailed plot of the graph of its derivative.On your plot, (i) label the axes with numericvalues and (ii) indicate key points.32@(0,3)3+) X4%32+O(0,-) 0 (58) -(1,3).U (2.5,0)Key points(0,3)0 (1,1)> Graph decreases(1₁1) U (3,1)-> Graph increases131-X

Answered: Image /qna-images/answer/8e5e88f4-21e6-4bee-8808-c708695cca51.jpg

Answered: help. I need the y and x axis

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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Solve the following problem usingpartial derivatives.A certain paper-cutting machine produces varioussizes when increasing the length of a rectangularpaper by 6 cm each second while simultaneouslydecreasing its width by 5 cm each second. At acertain instant, the paper is a square with side oflength 30 cm. What is the rate of change of the areaof the paper at that instant?
Your job is to find some shortcuts for taking derivatives. For example, if the function is of the form y = c, where c is a constant, then you know the graph is a horizontal line, with a slope of zero, and you don't have to even go through the limit gyrations to get the derivative.
Suppose that the first derivative of y = ƒ(x) is y′ = 6(x + 1)(x - 2)2. At what points, if any, does the graph of ƒ have a local maxi-mum, local minimum, or point of inflection?
Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1)2(x - 2). At what points, if any, does the graph of ƒ have a local mini-mum, local maximum, or point of inflection? (Hint: Draw the sign pattern for y′.
The amount, A, of anesthetics that a certain hospital uses each week is a function of the number, S, of surgical operations performed each week. Also, S, in turn, is a function of the population, P, of the area served by the hospital, while P is a function of time, t. Write a type of chain rule that expresses the time rate of change of anesthetic usage, dA/dt, in terms of three of the derivatives described in part.
gives the first derivative of a continuousfunction y = ƒ(x). Find y″ and then use Steps 2–4 of the graphingprocedure to sketch the general shape of the graph of ƒ.65. y′ = (8x - 5x2)(4 - x)^2 66. y′ = (x2 - 2x)(x - 5)^2
Estimate the derivative of the function f(x) =8-8x at the point x = 9. Select the answer rounded to the nearest whole number. O a. -10 O b. -7 O c. -9 O d. -13 O e. -8
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x, calculate the derivative when x = 5 mm. V'(5) = mm3/mm What does V'(5) mean in this situation? V'(5) represents the rate at which the volume is increasing with respect to the side length as V reaches 15 mm3.V'(5) represents the volume as the side length reaches 5 mm. V'(5) represents the rate at which the volume is increasing as x reaches 15 mm.V'(5) represents the rate at which the side length is increasing with respect to the volume as x reaches 5 mm.V'(5) represents the rate at which the volume is increasing with respect to the side length as x reaches 5 mm.
Match the graph of each function in (a)–(d) with the graphof its derivative in I–IV. Give reasons for your choices.
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