Question

Find dy/dx if, i) x^2 + 2xy + y^2 = 0
​

Answer 1

Answer:

Explanation:

Differentiate the equation with respect to

x

, considering that based on the chain rule:

d

d

x

f

(

y

)

=

d

f

d

y

⋅

d

y

d

x

Thus we have:

d

d

x

(

x

2

+

x

y

+

y

2

)

=

0

2

x

+

x

y

'

+

y

+

2

y

y

'

=

0

solving for

y

'

:

y

'

(

x

+

2

y

)

=

−

2

x

−

y

y

'

=

−

2

x

+

y

x

+

2

y