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Question Number 186445 by myint last updated on 04/Feb/23
Showthatthefunctiony=∣x−5∣hasnoderivativeatx=5.
Answered by ARUNG_Brandon_MBU last updated on 04/Feb/23
f′(5)=limx→5f(x)−f(5)x−5=limx→5∣x−5∣x−5limx→5>∣x−5∣x−5=limx→5>x−5x−5=1limx→5<∣x−5∣x−5=limx→5<5−xx−5=−1limx→5>∣x−5∣x−5≠limx→5<∣x−5∣x−5hencef′(5)doesnotexist.
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