Theorem Let fbe a continuous function on an open subset U of a anach space X into a Banach space Y. Let a and b by any distinct points in U such hat the segment [a, b] is contained in U and f be differentiable at each point of a, b]. Let g be any continuous linear function on X into Y. Then 11 f(h)-f(a). a (h alls all h all

Theorem Let fbe a continuous function on an open subset U of a anach space X into a Banach space Y. Let a and b by any distinct points in U such hat the segment [a, b] is contained in U and f be differentiable at each point of a, b]. Let g be any continuous linear function on X into Y. Then 11 f(h)-f(a). a (h alls all h all

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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The book is called ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS second edition