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The number of points where f(x)=(x-3)|x^...

The number of points where `f(x)=(x-3)|x^2-7x+12|+"cos"|x-3|` is not differentiable
(a)1
(b) 2
(c) 3
(d) infinite

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If f(x) is continuous at x=0 then xf(x) is differentiable at x=0 . By changing origin we can say that if f(x-a) is continuous at x=a then (x-a)f(x-a) is differentiable at x=a The number of points where f(x)=(x-3)|x^2-7x+12|+"cos"|x-3| is not differentiable is 1 (b) 2 (c) 3 (d) infinite

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