Section 2.8
2.Estimate the value of the derivative at assigned points of x by drawing the tangent at the point (x, f (x))and estimating its slope.
3.(a) The slope at 0 is a positive number. (b) The slope at 0 is a native num- ber and the function is not differential at two sharp-vertex but continuous at there. (c) The slope at 0 is 0, so the derivative function passes through zero.
And the slope goes zero as x goes increasing and decreasing. (d) The slope at 0 is 0, so the derivative function passes through zero. As x goes increasing and decreasing, we derive the opposite result from (c).
35.At some points, it may be a corner, discontinuous point or even with a vertical tangent.
37.At some points, it may be a corner, discontinuous point or even with a vertical tangent.
41.Observe curve a, the slope at 0 is a positive number, so b satisfies the derivative for a. And judge whether the derivative for b is surely c ? More- over, if f = a, then its derivative must be b? Try some comparison to get reasonable answer.
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