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Let f be a real valued function defined as f: R to R f(x) =|x^(2) -6x +8| sin((x-2)Pi) + |e^(x) -1|sin x+|x^(2)|) The number of points of non-differentiability is |
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Answer» 4 `x=4 sin((x-2)pi)=0` So, `|x^(2)- 6x +8| sin((x-2)pi)` is differentiable everywhere SIMILARLY, `|e^(x)-1|` SINX is differentiable everywhere and `(x^(3))` is differentiable everywhere. |
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