Ee1031bS10

Ee1031bS10 - Example 4: The Derivative p f ( x h) f ( x) h...

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Example 4: The Derivative () ( ) f xh fx h ( ) '( ) lim 0 fx h fx fx h h  UCLA SEAS EE103 (SEJ) SLIDES 1B 1 ( ) fxh f x h 3 (;,) ( ) 10 5 ( ( )( ) ) / fx x lxxh f x mx x xh mf x h f x h   UCLA SEAS EE103 (SEJ) SLIDES 1B 2 1, 0.5, (( ) ()
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() ( ) f xh fx h 3 (;,) ( ) 10 2 ( ( )( ) ) / fx x lxxh f x mx x xh mf x h f x h   UCLA SEAS EE103 (SEJ) SLIDES 1B 3 1, 0.2, (( ) () ( ) fh f '( ) lim 0 f x hf x f x h h 3 ' (;) ( ) 1 lxx f x f xxx UCLA SEAS EE103 (SEJ) SLIDES 1B 4 x
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A Specific Derivative Example sin [0 2 xx UCLA SEAS EE103 (SEJ) SLIDES 1B 5 sin , [0, 2] Single Precision h num deriv abs erro rel erro num_deriv abs_error rel_error 2.500000E-01 6.118352E-01 9.527159E-02 1.347344E-01 6.250000E-02 6.845568E-01 2.254993E-02 3.189041E-02 1.562500E-02 7.015546E-01 5.552173E-03 7.851958E-03 3.906250E-03 7.057270E-01 1.379728E-03 1.951231E-03 9.765625E-04 7.067738E-01 3.329515E-04 4.708646E-04 2.441406E-04 7.070701E-01 3.671646E-05 5.192492E-05 6.103516E-05 7.072835E-01 1.767278E-04 2.499308E-04 1.525879E-05 7.078945E-01 7.877350E-04 1.114025E-03 3.814697E-06 7.102778E-01 3.171027E-03 4.484509E-03 9.536743E-07 7.197959E-01 1.268911E-02 1.794512E-02 2.384186E-07 7.578645E-01 5.075777E-02 7.178232E-02 5.960464E-08 9.101382E-01 2.030314E-01 2.871298E-01 1.490116E-08 1.519233E+00 8.121257E-01 1.148519E+00 3.725290E-09 3.955610E+00 3.248503E+00 4.594077E+00 3.725290E 09 3.955610E 00 3.248503E 00 4.594077E 00 9.313226E-10 1.370112E+01 1.299401E+01 1.837631E+01 2.328306E-10 5.268316E+01 5.197605E+01 7.350523E+01 5.820766E-11 2.086113E+02 2.079042E+02 2.940210E+02 1.455192E-11 8.323239E+02 8.316168E+02 1.176084E+03
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Ee1031bS10 - Example 4: The Derivative p f ( x h) f ( x) h...

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