Summer of 69 Part-2

Calculus Level 5

Evaluate :

\(\frac { { d }^{ 69 }(arctan(x)) }{ d{ x }^{ 69 } } \quad at\quad x=5\)

The answer is of the form \(x*{ 10 }^{ 47 }\).

Find \(x\).

This question requires lots and lots of patience if not proceeded properly.

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