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- For each of the following functions, verify graphically that the
MVT holds and find all values of c, a < c <b, that satisfy the
- , , b= 2.
- , a=2, b=5.
- , , .
- , a=-2, b=4.
- Explain how the MVT applies to support the patrolman's claim.
- For which values of a and b would the MVT apply to ?
- Note that the derivative is not required
to be continuous in the MVT. Can you come up with a function that is
differentiable, but whose derivative is not continuous? ( Hint - if
is differentiable on an interval , then the derivative cannot
have any jump discontinuities. What other kinds of discontinuities are
Sean O Anderson
Wed Sep 27 09:31:40 EDT 1995