1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the stationary points. [7 marks] (b) Using the second derivative test, determine the relative minimum and maximum for the curve f(x) at all stationary points. [6 marks]

1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the stationary points. [7 marks] (b) Using the second derivative test, determine the relative minimum and maximum for the curve f(x) at all stationary points. [6 marks]

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

1. Given f(x)=
(a) Show that f (x) = 2(x² –16)
by using the quotient rule. Hence, find all
11
3x3
the stationary points.
[7 marks]
(b) Using the second derivative test, determine the relative minimum and
maximum for the curve f(x) at all stationary points.
[6 marks]

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