Assume that ex is differentiable on R with (ex) = ex. a) Show that the following function

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Assume that ex is differentiable on R with (ex)ʹ = ex.
a) Show that the following function is differentiable on R with fʹ(0) = 0:
Assume that ex is differentiable on R with (ex)ʹ =

b) Do analogous statements hold for f(n)(x) when n = 2, 3,...?

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