WBJEE · Maths · Application of Derivatives
Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be given by \(f(x)=\left|x^2-1\right|\), then
- A \(f\) has a local minima at \(x= \pm 1\) but no local maxima
- B \(f\) has a local maxima at \(x=0\), but no local minima
- C f has a local minima at \(x= \pm 1\) and a local maxima at \(x=0\)
- D f has neither any local maxima nor any local minima
Answer & Solution
Correct Answer
(C) f has a local minima at \(x= \pm 1\) and a local maxima at \(x=0\)
Step-by-step Solution
Detailed explanation
By figure, \(f\) has a local minima at \(x= \pm 1\) and a local maxima at \(x=0\)
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