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Differentiation question

2023 · 13 Apr · Shift 1 · Q35

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JEE Main
Mathematics
Differentiation
2023 · 13 Apr · Shift 1 · Q35

Differentiation question

2023 · 13 Apr · Shift 1 · Q35

JEE MainMathematicsDifferentiationMCQ+4 / −1

For the differentiable function

f: \mathbb{R}-\{0\} \rightarrow \mathbb{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

A
13
B
$\frac{29}{5}$
C
$\frac{33}{5}$
D
7

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