Necessary and sufficient condition for a function y = f(x) to have a maximum value is...Syarat-perlu dan syarat-cukup terjadinya titik-ekstrim maksimum pada sebuah fungsi y=f(x) dalah...1. O y'=0 and y" is nonzero2. O y'=0 and y">03. О у%30 and у"<04. O y'=0 and y"=0

Answered: Necessary and sufficient condition for…

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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Please don't take the question if you aren't willing to complete it. This is ONE question, not several.
The demand for ACME Q-bits is given by the function q = f(Y,p), where • q = monthly demand for ACME Q-bits (measured in 1000s of Q-bits) • Y= average monthly income in the Q-bit market (measured in $1000s) •p = price/Q-bit that ACME sets (measured in dollars). When average monthly income is $4500 and ACME's price is $35... • q = 22, aq/əY = 0.77 aq/ap = - 0.64 If average monthly income increases to $4700, by approximately how much can ACME increase their price while keeping demand for the product fixed at q = 22? Hint: Use linear approximation.
Find the critical values of f then use the second derivative to determine if f has a relative maximum or relative minimum at each critical value.
1) Consider f(x) = 3x4 -8x³ +6 a) Find all critical points of the function (make sure to consider if the derivative is defined everywhere or not!). Label them in increasing order, 21, 22, 23, etc (for how many you find). b) Use the first derivative test to determine if x₁ is a local max, min, or neither. Find the y value associated with this a value and write it as a point (x, y). 1 c) Use the second derivative test to determine if x2 is a local max, min, or neither. Find the y value associated with this a value and write it as a point (x, y).

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Necessary and sufficient condition for a function y = f(x) to have a maximum value is... Syarat-perlu dan syarat-cukup terjadinya titik-ekstrim maksimum pada sebuah fungsi y=f(x) dalah... 1. O y'=0 and y" is nonzero 2. O y'=0 and y">0 3. O y'=0 and y"<0 4. O y'=0 and y"=0