Delightful Differentiation #15

A Schol differentiation problem involving a tangent that never cuts its curve again.
Estimated difficulty: *

[@oscarmcevoy90]

You are the best maths channel

[@calcwld]

Thanks so much! Your kind words are very much appreciated!!! 🤩

[@wasimvillidad3000]

I posed this question to Gemini. The response was interesting(?!).

[@calcwld]

Really? How so??