Prove that the function `f(x)=x^2-x+1` is neither increasing nor decreasing on `(-1,\ 1)` .

Explanation

Given,
the function `f(x)=x^2−x+1`

`f′(x)=2x−1`


`f′(x)>0, ∀x∈(1/2​,1)` [∵f′(x)>0⇒ strictly increasing]


`f′(x)<0,∀x∈(0,1/2​)` [∵f′(x)<0⇒ strictly decreasing]

f(x) is strictly increasing in the interval `(1/2​,1)`

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