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Prove that the Function F Given By F(X) = X2 − X + 1 is Neither Strictly Increasing Nor Strictly Decreasing on (−1, 1). - Mathematics

Prove that the function f given by f(x) = x2 − x + 1 is neither strictly increasing nor strictly decreasing on (−1, 1).

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Solution

The given function is f(x) = x2 − x + 1.

Hence, f is neither strictly increasing nor decreasing in interval (−1, 1).

Concept: Increasing and Decreasing Functions
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Chapter 6: Application of Derivatives [Page 206]
Q 11
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NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 11 | Page 206
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