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

Transcribed Image Text:

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 x₂ = 0 (x, xEQ (b) f(x) = at x₁ = 0 lo xe Q (c)f(x) = √√x+2, x € (-2,00), x=-2 (d) f(x)= X, x #Q (sinx, x€Q at x₁ = 0 5.Prove that: if f is continuous at x = 0, then xf (x) is differentiable at x = 0. 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 x₂ = 0 (x, xEQ (b) f(x) = at x₁ = 0 lo xe Q (c)f(x) = √√x+2, x € (-2,00), x=-2 (d) f(x)= X, x #Q (sinx, x€Q at x₁ = 0 5.Prove that: if f is continuous at x = 0, then xf (x) is differentiable at x = 0.

Answer rating: 100% (QA)

Solution Now Flse at 20 x x x 0 fx 220 lim fx lim fxfn 26... View the full answer