The first and second derivatives of the function f(x) have the values given in Table 1.
(a) Find the x-coordinates of all relative extreme points.
(b) Find the x-coordinates of all inflection points.
TABLE 1 Values of the First Two Derivatives of a Function
x | f′(x) | f″(x) |
0 ≤ x<2 | Positive | Negative |
2 | 0 | Negative |
2 < x<3 | Negative | Negative |
3 | Negative | 0 |
3 < x<4 | Negative | Positive |
4 | 0 | 0 |
4 < x ≤ 6 | Negative | Negative |
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