A function f is defined by f(x)=x' – 3x² – 24x , where xeR. (i) Find the coordinates of the stationary point(s). (ii) By using the Second Derivative Test, determine the nature of stationary point(s) obtained in Q3. (a) (i). (iii) Find the concave up and concave down intervals.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A function f is defined by f(x)=x -3x – 24x, where xeR.
(i)
Find the coordinates of the stationary point(s).
(ii)
By using the Second Derivative Test, determine the nature of stationary
point(s) obtained in Q3. (a) (i).
(iii)
Find the concave up and concave down intervals.
Transcribed Image Text:A function f is defined by f(x)=x -3x – 24x, where xeR. (i) Find the coordinates of the stationary point(s). (ii) By using the Second Derivative Test, determine the nature of stationary point(s) obtained in Q3. (a) (i). (iii) Find the concave up and concave down intervals.
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