AP EAMCET · Maths · Application of Derivatives
If \(f(x)=(2 k+1) x-3-k e^{-x}+2 e^x\) is monotonically increasing for all \(x \in R\), then the least value of \(k\) is
- A 1
- B 0
- C \(-\frac{1}{2}\)
- D -1
Answer & Solution
Correct Answer
(B) 0
Step-by-step Solution
Detailed explanation
Given, \[ f(x)=(2 k+1) x-3-k e^{-x}+2 e^x \] Since, \(f(x)\) is monotonically increasing for all \(x \in R\). So,…
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