Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, then the value of 
at x = 0 is
A
0
B
2
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Given equation can be rewritten as
(y- 2) 2 = sinx + y
y 2 – 4y + 4 = sin x + y ... (i)
Putting x = 0 in the equation (i), we get,
y 2 -4y + 4 = 0 + y 
y 2 -5y + 4 = 0
(y-1)(y-4) = 0
y = 1 or y = 4
y>2 
y = 4
Now differentiating equation (i) with respect to x, we get,
Putting x = 0,y = 4:
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