Continuity and DifferentiabilityHard

Question

If xexy - y = sin x, then at x = 0 is-

Options

A.0
B.1
C.-1
D.None of these

Solution

x exy - y = sin x
exy + x.e xy {y + x. } - = cos x
at x = 0, y = 0
∴ at x (0, 0) is
e0 + 0.e0 {0 + 0} - = cos 0
= 0

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