Find d2y/dx2 at point (-2,1) for y^2-2x-4y-1=0
so i tired moving the xs and constants over:
but then I'm stuck...
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The explicit expression for is found resolving the algebraic equation... (1)
... and we obtain... (2)
Because is we have to choose in (2) the sign '-', so that is... (3)
You don't need to solve for y, use "implicit differentiation".
Since , . Set y= 1 and solve for y'.
Do it again: . Set y= 1, and y' equal to the value you just found, and solve for y''.
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