21. continuedCheck x53:Since g(3)5(423)251 and limx→32g(x)5limx→32(2x11)52(3)1157, the function isnot continuous (and hence not differentiable) at x53.The function is differentiable for all reals except x53.22.Note that C(x)5x)x)55, so it is differentiable for all xexcept possibly at x50. Check x50:limh→0}C(01hh)2C(0)}5limh→0}h)h)h20}5limh→0)h)50 The function is differentiable for all reals.23. (a)x50 is not in their domains, or, they are both discontinuous at x50.(b)For }1x}: NDER1}1x}, 0251,000,000For }x12}: NDER1}x12}, 0250(c)It returns an incorrect response because even thoughthese functions are not defined at x50, they aredefined at x5 60.001. The responses differ from eachother because }x12}is even (which automatically makesNDER 1}x12}, 0250) and }1x}is odd.24.[25, 5] by [210, 10]}ddyx}5x325.[22p, 2p] by [21.5, 1.5]}ddyx}5sin x26.[26, 6] by [24, 4]}ddyx}5abs (x) or )x)27.
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