Given that x

Question

2
y
2 = cos ￾
x
2
y
2
�
,
determine dy
dx

Answer 1

Taking the derivative of both sides with respect to x using the chain rule, we get:

2x(2y)(dy/dx) - 2y(2x)(sinx)(dx/dx) = 0

Simplifying, we get:

2xy(dy/dx) - 2xy(sin x) = 0

Dividing both sides by 2xy, we get:

dy/dx - sin x = 0

Therefore:

dy/dx = sin x