MHT CET · Maths · Application of Derivatives
If \(\mathrm{f}(\mathrm{x})=\frac{\mathrm{k} \sin \mathrm{x}+2 \cos \mathrm{x}}{\sin \mathrm{x}+\cos \mathrm{x}}\) is strictly increasing for all real values of \(x\), then
- A \(k=1\)
- B \(k>1\)
- C \(\mathrm{k} < 2\)
- D \(k>2\)
Answer & Solution
Correct Answer
(D) \(k>2\)
Step-by-step Solution
Detailed explanation
\(f'(x) = \frac{k(1) - 2(1)}{(\sin x + \cos x)^2}\) \(f'(x) = \frac{k-2}{(\sin x + \cos x)^2}\)
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