If y={x}/{x^{2}+{x}/{x^{2}+{x}/{x^{2}+\........ \infty}}} and \\int{(y-x^{2}) d x}/{(x^{2}+y)(x+y^{2})}=f(y)+c then f'(y) for x=1 is equalto ________

JEE Advanced 2021 Full Test 5 Paper 2

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded‐off to the second decimal place; e.g. XXXXX.XX).

Question : 53 of 54

Marks: +1, -0

If y=

x2+

x2+........∞

and ∫

(y−x2)dx

(x2+y)(x+y2)

=f(y)+c then f′(y) for x=1 is equalto ________

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