Summarizing the distributional derivative of a piecewise smooth function. this exercises generalizes (and summarizes) many of the previous exercises and examples. suppose f is a c1 (continuously differentiable) function except at a point xo. define the function g(x) = 10 if r + xo if x = to. a) if f is continuous at x = xo, prove (show) that f' = g in the sense of distributions. b) suppose f has a jump discontinuity at xo with a = lim f(x) and b = lim 2+25 f(x). +20 show that f' = g + (b − a)& go in the sense of distributions.