Perform a first derivative test on the function f(x) = x/25 - x;(-5,5].a. Locate the critical points of the given function.b. Use the First Derivative Test to locate the local maximum and minimum values.c. Identify the absolute maximum and minimum values of the function on the given interval (when they exist).

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Answered: Perform a first derivative test on the…

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 the function: f(x) = (3x² - 12)² Step 2 of 2: Use the Second Derivative Test to locate any local maximum or minimum points in the graph of the given function.
a. Show your work including the first derivative test and determine if the function has maximums/minimums and state the intervals of increasing/decreasing. b. Show your work and show your second derivative test and determine where the function is concave up/ concave down and any point of inflection.
Identify three cases for a function NOT to be differentiable at a. Explain why each case fails the conditions of differentiability.
Consider the function: Answer f(x) = (3x² + 6)² Use the Second Derivative Test to classify the relative extrema, if the test applies. Otherwise, use the First Derivative Test. Keypad Keyboard Shortcuts Write all relative extrema as ordered pairs of the form (x, f(x)). (Note that you will be calculating the values of the relative extrema, as well as finding their locations.) Separate multiple answers with commas. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Relative Maxima: Relative Minima: O No Relative Maximal O No Relative Minimal
The demand for Chavez Doodads is described by the function q = 20(4p - 3p)¹/4, where • Ps is the average price of a substitute for Chavez Doodads (measured in dollars) • p is the price of a Chavez Doodad (measured in dollars). . q is the monthly demand for Chavez Doodads, (measured in 1000s of units) əq Op p=4 P8=7 Əq (b) aps 8 p=4 P8=7 = -0.625 = 2.5
Find the range of the function when defined on the specific domain D. X f(x,y) = , D= {(x,y) : 2x} y ... Range = (Type your answer in interval notation.)

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