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Q.

It f(x)=x2−4x|+3| then A={x:f is not  differentiable at x} is equal to

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a

{–1, 1, –3, 3}

b

{1, 3}

c

{1, –1}

d

{3, –3}

answer is A.

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Detailed Solution

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f(x)=|(|x|−1)(|x|−3)| Hence f is not differentiable at |x|=1,|x|=3 i.e. at x=1,−1,3,−3

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