The left-hand and right-hand derivatives of f at are defined by if these limits exist. Then f'(a) exists if and only if these one sided derivatives exist and are equal.
(a) Find f'-(4) and f'+(4) for the function

(b) Sketch the graph of f.
(c) Where is f discontinuous?
(d) Where is f not differentiable?

Transcribed Image Text:

f(a + h) – f(a) f'(a) = lim k-0- fla + h) – f(a) f'. (a) = lim and if x<0 5 -x if 0 4