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Let `f(x)=(x^(2)-3x+2)(x^(3)-6x^(2)+11x-6)|+|sin(x+(pi)/(4))|` The set of points at which the function f(x) is not differentiable in `[0,2pi]` isA. `{1,2,3,(3pi)/(4),(7pi)/(4)}`B. `{1,2,3}`C. `{3,(3pi)/(4),(7pi)/(4)}`D. `{(pi)/(4),(3pi)/(4),(5pi)/(4)}` |
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Answer» Correct Answer - 3 `f(x)=(x-1)(x-2)|(x-1)(x-2)(x-3)|+|sin (x+pi//4)|` Where (x-1)(x-2)(x-3) is not differentiable at x=3 `sin(X+pi//4))` is not differentiable at `x+(pi)/(4)=pi,2pi` `implies x=(3pi)/(4),(7pi)/(4)` |
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