`f(x)=|x^2-3|x|+2|dot` Then which of the following is/are true `f^(prime)(x)=2x-3` for `x` in `(0,1)uu(2,oo)`
`f^(prime)(x)=2x+3` for `x` in `(-oo,-2)uu(-1,0)`
`f^(prime)(x)=-2x-3` for `x` in (-2,-1)`
None of these

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If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

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If f^(prime)(x)=8\ x^3-2x ,\ \ f(2)=8, find f(x) .

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If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

If f^(prime)(x)=x+b ,f(1)=5,f(2)=13 , find f(x)dot