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Differentiation question

2025 · 24 Jan · Shift 2 · Q44

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PYQ Library
JEE Main
Mathematics
Differentiation
2025 · 24 Jan · Shift 2 · Q44

Differentiation question

2025 · 24 Jan · Shift 2 · Q44

JEE MainMathematicsDifferentiationMCQ+4 / −1

Let

f:(0, \infty) \rightarrow \mathbf{R}

be a function which is differentiable at all points of its domain and satisfies the condition

x^2 f^{\prime}(x)=2 x f(x)+3

, with

f(1)=4

. Then

2 f(2)

is equal to :

A
19
B
23
C
29
D
39

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