Question: Write an example of a function whose derivative can be found by using the following rules: a) Product rule and special function differentiation rules b)

Write an example of a function whose derivative can be found by using the following rules:

a) Product rule and special function differentiation rules

b) Power rule, quotient rule, and chain rule

c) Chain rule twice

d) Implicit differentiation and special function differentiation rule

Please do not provide an already published example.

I would like to see a new example.

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