1.

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

Answer»

4
3
2
0

Solution :`|X^(2) - 6x +8|` is non diferentiable at x=2,4. at x=2, `sin((x-2)pi)=0`
`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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