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

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,...?

f(x) = x = 0.

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a fx 2e 1x2 x 3 is evidently continuous for x 0 Also by LHpitals Rule lim x0 fx lim x0 2x 3 e 1 x ... View full answer

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