1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider, f ( x )=(λ4-2 λ2) x +3 cos x , λ ∈ R. The least positive integral value of λ for which f(x) is monotonically increasing for all x ∈ R.

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Q. Consider, $f ( x )=\left(\lambda^4-2 \lambda^2\right) x +3 \cos x , \lambda \in R$.
The least positive integral value of $\lambda$ for which $f(x)$ is monotonically increasing for all $x \in R$.

Application of Derivatives

Solution:

Correct answer is (a) 2