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Grade:

                        

x= exp(tan^-1(y-x^2)/x^2 then dy/dx notex^2 means x square

11 years ago

Answers : (2)

student iit
18 Points
							

Take natural logarithm both sides and solve.

Proceed using the method , I will help you along.

11 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


11 years ago
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