AP EAMCET · Maths · Functions
If \(3 f(x)-2 f\left(\frac{1}{x}\right)=x\), then \(f^{\prime}(2)\) is equal to
- A \(\frac{1}{2}\)
- B \(\frac{-1}{2}\)
- C 1
- D -1
Answer & Solution
Correct Answer
(A) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\(3 f(x)-2 f\left(\frac{1}{x}\right)=x\)...(i) Replace \(x\) with \(\frac{1}{x}\) now. From Eq. (i), we get \(\Rightarrow \quad 3 f\left(\frac{1}{x}\right)-2 f(x)=\frac{1}{x}\)...(ii)…
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