Question 4. (a) Find the relative extrema of the functionf given by y x3 – 3x2 – 9x - 1 (1) Sketch and use a graph to estimate the relative extrema (ii) Then find the first and second derivatives (iii) Verify that relative extrema occur at those x-values (iv) Over what intervals is the graph of f concave up?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 4.
(a) Find the relative extrema of the functionf given by y = x – 3x2 – 9x - 1
(1) Sketch and use a graph to estimate the relative extrema
(ii) Then find the first and second derivatives
(ii) Verify that relative extrema occur at those r-values
(iv) Over what intervals is the graph of f concave up?
Transcribed Image Text:Question 4. (a) Find the relative extrema of the functionf given by y = x – 3x2 – 9x - 1 (1) Sketch and use a graph to estimate the relative extrema (ii) Then find the first and second derivatives (ii) Verify that relative extrema occur at those r-values (iv) Over what intervals is the graph of f concave up?
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