Show that f(x)=lx-3l+5 is not differentiable at x=3. is f differentiable everywhere else?
since the at x = 3 limit [f(x+h)-f(x)]/h = (|h|+5-5)/h = |h|/h = -1 when h<0 and = 1 when h >1, so it is not differentiable at x=3. Yes it is differetable every where else, and f'=-1 x<3 f'=1 x>3.
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