1.

The number of points in `(1,3)`, where `f(x) = a(([x^2]),a>1` is not differential is

Answer» Correct Answer - D
Let `g(x)=x^(2)`. Then g(x) is an increasing function on (1,3) such that g(1)=1 and g(3)=9
on (1,3) such that g(1)=1 and g(3)=9
Clearly, `[g(x)]=[x^(2)]` is discontinuous and hence non-differentiable at `x=sqrt(2),sqrt(3),sqrt(4),sqrt(5),sqrt(6),sqrt(7) and sqrt(8)`. Hence, `f(x)=a^([x^(2)]` is non differentiable at x=0, then


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