We have that 3x²+2xy+y²<span>=2 </span> find the derivative-------> <span>(Implicit differentiation) </span><span>6x+2xdy/dx+2y+2ydy/dx=0 </span>collect dy/dx terms along one side <span>dy/dx(2x+2y)= -6x-2y </span> <span>dy/dx= -2(3x+y)/2(x+y) = - (3x+y)/(x+y) </span> for x=1 <span>dy/dx= -(3+y)/(1+y)= -(y+3)/(y+1) </span> the answer is dy/dx=-(y+3)/(y+1)
