Zero solvers challenge

Calculus Level 5

f(x)=x4ex \large f(x) = x^4 e^{x}

If the 100th100^\text{th} derivative of f(x)f(x) at x=1x=1 is equal to kek e for some positive integer kk, find kk.

Notation: e2.71828e \approx 2.71828 denotes the Euler's number.

Part 2

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