The function f defined by \(f(x)=\left\{\begin{array}{l}\frac{x^2}{a}-a, \text { if } 0

1
is not continuous on ]0, ∞[
2
is not differentiable on ]0, ∞[
3
is differentiable on ]0, ∞[
4
is differentiable on ]0, ∞[ except at x = a

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