Consider the following.f(x) 3D —5x? + 9х + 6Find f'(x).f'(x) =Find all critical numbers of f(x). (Enter your answers as a comma-separated list.)X =Find all relative extrema of the function. (If an answer does not exist, enter DNE.)relative maximum(х, у) 3 (1relative minimum(х, у) :

Answered: Image /qna-images/answer/a2be80c4-ea83-4a4c-aa52-98fb3aba670a.jpg

Answered: Consider the following. f(x) = -5x2 +…

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 ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or minimum at the critical point?
A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test. B-Find the value of a so that the function f (x) = xeax has a critical point at x = 3.
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1) Use the First Derivative Test to determine whether the function attains a local minimum or local maximum (or neither) at the given critical point y=x2/x+1, c=0 1a) find the critical points and the intervals on which the function is increasing or decreasing, and apply the First Derivative Test to each critical point y=x5/2-x2 (x>0)
find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = sin x cos x,[0, π/2]
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The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe-bH for positive constants a and b, with domain (0, infinity) and k'(H) = ae-bH(1-bH) 1. Use the definition to find the only critical point H1 of k on its domain. 2. Use a number line and the first derivative test to show that the oxygen supply is maximised at H1.You have to explain how you determine the sign of the first derivative on every interval. 3. What is the maximum oxygen supply? 4. How does increasing the value of the constants a and b in the same proportion change the maximumvalue of S? Please answer 3 and 4

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Consider the following. f(x) = -5x2 + 9x + 6 Find f'(x). f'(x) = Find all critical numbers of f(x). (Enter your answers as a comma-separated list.) X = Find all relative extrema of the function. (If an answer does not exist, enter DNE.) relative maximum (х, у) %3D relative minimum (х, у) %3