Question

decide x^2y-3xyby y​

Answer 1

Step-by-step explanation:

Given,

x

2

y

3

=(x+y)

5

Now taking logarithm with respect to the base e both sides we get,

2logx+3logy=5log(x+y)

Now differentiating both sides with respect to x we get,

x

2

+

y

3

dx

dy

=

x+y

5

(1+

dx

dy

)

or, (

x

2

−

x+y

5

)=(

x+y

5

−

y

3

)

dx

dy

or, (

x(x+y)

2y−3x

)=(

y(x+y)

2y−3x

)

dx

dy

or,

dx

dy

=

x

y

.