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Home  Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 7 |
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Example 7
Sketch the curve f(x) and f'(x) are undefined at x = π because the denominator sin π is zero. The first two derivatives are
Thus f'(x) is always negative, and f"(x) = 0 when x = π/2, 3π/2. Here is the table:
Notice that the table from π to 2π is just a repeat of the table from 0 to π. This is because
The curve is sketched in Figure 5.3.5.
Figure 5.3.5
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| Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 7 |
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for 0 < x < 2π.
Last Update: 2006-11-14