Question: Let f(x) = x2ex2, and assume that (ex)' = ex for all x R. a) Show that f-1 exists and is differentiable on (0,

Let f(x) = x2ex2, and assume that (ex)' = ex for all x ∈ R.
a) Show that f-1 exists and is differentiable on (0, ∞).
b) Compute (f-1)ʹ(e).

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