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Let F(t) = 4t 1+4t² 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F' (t) = 0 for all t. i+

Let F(t) = 4t 1+4t² 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F' (t) = 0 for all t. i+

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let F(t) = 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F'(t) = 0 for all t. 4t 1+4t² i+ Corollary 12.11: Let F be differentiable on an interval I and assume that there is a number c such that: ||*F(t)|| = c for t within I Then: F(t) * F'(t) = 0 for t within I
Transcribed Image Text:Let F(t) = 1-4t² 1+ 4t² j Using Corollary 12.11, show that F(t)*F'(t) = 0 for all t. 4t 1+4t² i+ Corollary 12.11: Let F be differentiable on an interval I and assume that there is a number c such that: ||*F(t)|| = c for t within I Then: F(t) * F'(t) = 0 for t within I
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