CUET · MATHS · PYQ PAPER 2023
If \(f(x)=\frac{1}{1-x}\), then for x > 1, f(x) is:
- A decreasing
- B constant
- C increasing
- D neither decreasing nor increasing
Answer & Solution
Correct Answer
(C) increasing
Step-by-step Solution
Detailed explanation
\(f'(x) = \frac{d}{dx}((1-x)^{-1}) = -1(1-x)^{-2}(-1) = \frac{1}{(1-x)^2}\) For \(x > 1\), \((1-x)^2 > 0\) \(f'(x) > 0\) increasing
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