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Let f be a continuous functio to R. Let a and b be two distinct ntained in U and fbe differentiable 0 (h all

Let f be a continuous functio to R. Let a and b be two distinct ntained in U and fbe differentiable 0 (h all

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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Let f be a continuous function on an open subset U of a Banach space X into R. Let a and b be two distinct points in U such that the segment [a, b] is contained in U and fbe differentiable at all points of [a, b]. Then f(b)-f(a)=Df(a+0 (b-a)).(b-a),
Transcribed Image Text:Let f be a continuous function on an open subset U of a Banach space X into R. Let a and b be two distinct points in U such that the segment [a, b] is contained in U and fbe differentiable at all points of [a, b]. Then f(b)-f(a)=Df(a+0 (b-a)).(b-a),
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