Let be a function that is differentiable on [a, b]. We defined the average rate of
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Let ƒ be a function that is differentiable on [a, b]. We defined the average rate of change of ƒ over [a, b] to be
and the instantaneous rate of change of ƒ at x to be ƒ′(x). In this chapter we defined the average value of a function. For the new definition of average to be consistent with the old one, we should have
Is this the case? Give reasons for your answer.
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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