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nitish kumar Grade:
```        x= exp(tan^-1(y-x^2)/x^2 then dy/dx
notex^2 means  x square```
8 years ago

## Answers : (2)

student iit
18 Points
```										Take natural logarithm both sides and solve.
Proceed using the method , I will help you along.
```
8 years ago
Badiuddin askIITians.ismu Expert
147 Points
```										x= exp(tan^-1(y-x^2)/x^2)
first simplyfy this
take log both side
lnx =tan^-1(y-x^2)/x^2
or tan(lnx)=(y-x^2)/x^2
or 1+tan(lnx) =y/x2
or y= x2 +x2tan(lnx)
now differntiate
dy/dx=2x +x sec2(lnx) +2x tan(lnx)
that is tha final answer

```
8 years ago
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