🛠️ JEE➗ Maths

For the differentiable function \( f: R-\{0\} \rightarrow R \), let \( 3 f(x)+2 f\left(\frac{1}{x}\right)=\frac{1}{x}-10…

Q1

For the differentiable function \( f: R-\{0\} \rightarrow R \), let \( 3 f(x)+2 f\left(\frac{1}{x}\right)=\frac{1}{x}-10 \), then \( \left|f(3)+f^{\prime}\left(\frac{1}{4}\right)\right| \) is equal to

[JEE Main 2023, 13 Apr (Shift 1)]

a

\( 7 \)

b

\( \frac{33}{5} \)

c

\( \frac{29}{5} \)

d

\(13 \)

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