Use implicit differentiation to find dydx and d2ydx2 using t
Use implicit differentiation to find dy/dx and d^(2)y/dx^2 using the following equation.
4Sqrt(y)=x-y
4Sqrt(y)=x-y
Solution
4 sqrty=x-y 2/sqrt y *y\'= 1- y\' => y\'=1/(1+sqrt y /2) 2y\'=sqrt y -(sqrt y)* y\' 2y\"=1/2sqrty *y\'-sqrty*y\"-1/s sqrt y *y\'^2 y\"=[1/2sqrty *y\'-1/s sqrt y *y\'^2]/(2+sqrt y)