Asked by Collins
Solve using implicit derivative
cuberoot(x)+cuberoot(xy)=4y^2
cuberoot(x)+cuberoot(xy)=4y^2
Answers
Answered by
Steve
x^(1/3) + (xy)^(1/3) = 4y^2
1/3 x^(-2/3) + 1/3 (xy)^(-2/3) (y + xy') = 8yy'
Now just solve that for y'. There are several ways to massage the final answer.
1/3 x^(-2/3) + 1/3 (xy)^(-2/3) (y + xy') = 8yy'
Now just solve that for y'. There are several ways to massage the final answer.
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