QUIZ-9-Answer - QUIZ #9 ENGR 3723 PROBLEM 1 (50 points) A)...

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Unformatted text preview: QUIZ #9 ENGR 3723 PROBLEM 1 (50 points) A) (35 points) Derive the second order derivative evaluator. O(h 2 ) ANSWER: B) (15 points) Use it to evaluate the derivative of ) 2 3 cos( * 3 ) ( = x x f at x=0.5. Compare with the result using a first order formula O(h) ANSWER: The derivative is : ) 2 3 sin( * 3 ) ( ' = x x f . Then: 31483 . 4 ) 5 . sin( * 9 ) 5 . ( ' = = f We pick h=0.05. Then Remarkably close!!!!!! For the O(h) case we have Not that good!!! ) ( 2 ) ( 3 ) ( 4 ) ( ) ( ) ( 2 ) ( ) ( 2 ) ( ) ( ) ( ) ( , ) ( ) ( ) ( 2 ) ( ) ( ) ( 2 ) ( ) ( ) ( ) ( 2 ) ( ) ( ) ( ) ( 2 1 2 2 2 1 2 1 2 1 2 2 1 2 1 h O h x f x f x f x f h O h h x f x f x f h x f x f x f ng substituti Therefore h O h x f x f x f x f BUT h O h x f h x f x f x f h x f h x f x f x f i i i i i i i i i i i i i i i i i i i i i i + + = + + = + + = + = + + + = + + + + + + + + + L [ ] [ ] 43403 . 87758 . * 3 93937 . * 4 98007 . 3 ) 5 . cos(...
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This note was uploaded on 08/31/2011 for the course ENGR 3723 taught by Professor Staff during the Summer '11 term at Oklahoma State.

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QUIZ-9-Answer - QUIZ #9 ENGR 3723 PROBLEM 1 (50 points) A)...

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