y= int(x)^(x^(2)) sqrt(5-t^(2))dt then t...

`y= int_(x)^(x^(2)) sqrt(5-t^(2))dt` then the value of `(dy)/(dx)` at `x= sqrt(2)` is

`1-sqrt(3)`

`sqrt(3)(2 sqrt(6) -1)`

`2sqrt(2)-sqrt(3)`

`2sqrt(2)+sqrt(3)`

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