Question

(x+y)^2+2(x+y)+1 is equivalent to

Answer 1

Answer:

2

x

+2

y

=2

x+y

Differentiating both sides

ln2.2

x

+ln2.2

y

dx

dy

=ln2.2

x+y

(1+

dx

dy

)

2

x

+2

y

dx

dy

=2

x+y

(1+

dx

dy

)

2

x

+2

y

dx

dy

=2

x+y

+2

x+y

dx

dy

(2

y

−2

x+y

)

dx

dy

=(2

x+y

−2

x

)

dx

dy

=

2

y

−2

x+y

2

x+y

−2

x

dx

dy

=

2

y

(1−2

x

)

2

x

(2

y

−1)

dx

dy

=2

x−y

(

1−2

x

2

y

−1

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