Question: 4.For each of the following, determine whether the given function is differentiable at the indicated point xo. Justify your answer! (a) f(x) = xxl,

4.For each of the following, determine whether the given function is differentiable

4.For each of the following, determine whether the given function is differentiable at the indicated point xo. Justify your answer! (a) f(x) = xxl, at x = 0 (x, xEQ (b) f(x) = at x = 0 lo xe Q (c)f(x) = x+2, x (-2,00), x=-2 (d) f(x)= X, x #Q (sinx, xQ at x = 0 5.Prove that: if f is continuous at x = 0, then xf (x) is differentiable at x = 0.

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