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Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 6 | |||||||||||||||||||||||||||||||||||||||||
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Example 6
f(x) = x4/5. Then f'(x) = 4/5x-1/5, f"(x) = -4/25x-6/5 f'(x) is undefined at x = 0. We make the table:
With this information we can sketch the curve in Figure 5.3.4. Figure 5.3.4 This time the limits of the derivative as x approaches zero show that there is a cusp at x = 0, with the curve decreasing when x < 0 and increasing when x > 0.
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Home Limits, Analytic Geometry, and Approximations Limits and Curve Sketching Examples Example 6 |