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Slew rate and BW logic when designing differentietor of a pulse


 
Edited

Hello , I have designed a differentiator as shown below.The pulse in the simulation photos links below is 1ns which is 350MHz BW ,much higher then the BW of the AD8034 opamp.As you can see its working.How its possible?

Why its differentiating the pulse although the opamp? doesnt have such BW?

Given the pulse what slew rate and what BW does the OPAMP need to have?

https://eu.mouser.com/datasheet/2/609/AD8033_8034-1502231.pdf

https://ibb.co/0VMSYCkQ

https://ibb.co/tMkTLQt6

https://ibb.co/WpDF9Qch

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