Question

if x+y=sin(x+y) then prove that y'=-1​

Answer 1

Answer:

(1) sin x/(2y – 1)

(2) cos x/(2y – 1)

(3) sin x/(2y + 1)

(4) cos x/(2y + 1)

Solution:

y = √(sin x + y)

y2 = sin x + y

y2 – y = sin x

Differentiate w.r.t.x

2y dy/dx – dy/dx = cos x

dy/dx( 2y – 1) = cos x

dy/dx = cos x/(2y – 1)

Hence option (2) is the answer

Step-by-step explanation:

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