The TLC07x op-amps have limited bandwidth compared to BitScopes rated 100 MHz input bandwidth. Why do you use them ?
The BK300 kit is supplied with TLC071 and TLC072 OP-AMPs for the input stages (U23, U24 and U25) because these are the fastest DIP package J-FET OP-AMPs available. They are used as substitutes for the expensive and difficult to use but higher bandwidth SMT AD8085 and AD8086 modules used in BS300S. J-FET OP-AMPs are preferred to eliminate small input offsets that can arise using bi-polar OP-AMPs but if higher bandwidth is more important than a small offset (around 100 mV) you can substitute bipolar equivalents MAX477 or AD8055/AD8056 which are 300 MHz devices.
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