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प्रश्न
Prove that the function f given by f(x) = x2 − x + 1 is neither strictly increasing nor strictly decreasing on (−1, 1).
उत्तर
f(x) = x2 - x + 1
f'(x) = 2x - 1
if, f'(x) = 0
2x - 1 = 0
x =
x =
Hence, the function is neither increasing nor decreasing in (-1, 1).
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