AP EAMCET · Maths · Application of Derivatives
An extreme value of \(f(x)=\frac{4}{\sin x}+\frac{1}{1-\sin x}\) in \((0, \pi / 2)\) is
- A 9
- B 8
- C \(2 / 3\)
- D \(-7 / 2\)
Answer & Solution
Correct Answer
(A) 9
Step-by-step Solution
Detailed explanation
\(\because f(x)=\frac{4}{\sin x}+\frac{1}{1-\sin x}\) \(\Rightarrow f^{\prime}(x)=-\frac{4 \cos x}{\sin ^2 x}+\frac{\cos x}{(1-\sin x)^2}\) For critical points: \(f^{\prime}(x)=0\)…
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