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6. Application of derivatives — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths6. Application of derivatives1 Mark
MCQ
In the interval $[0, 1]$ , the function ${x^2} - x + 1$ is
  • A
    Increasing
  • B
    Decreasing
  • ✓
    Neither increasing nor decreasing
  • D
    None of these
✓

Answer

Correct option: C.
Neither increasing nor decreasing
c
(c) Let $f(x) = {x^2} - x + 1$, $f'(x) = 2x - 1$

Obviously $f'(0) = - 1$ and $f'(1) = 1$

Thus function is neither increasing nor decreasing.

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