4 February, 07:40
If x^2+3y^2=8+2xy, then d^2y/dx^2 at (2,2) =
4 February, 09:14
We are given
x² + 3y² = 8 + 2xy
We are asked for
d^2y/dx^2 at (2,2)
Which is the second derivative of the expression in terms of x evaluated at (2,2)
The expression can't be express explicitly in terms of x
Doing implicit differentiation
2x dx + 6y dy = 2y dx + 2 x dy
Solving for dy/dx
dy/dx = (2x - 2y) / (2x - 6y)
d^2y/dx^2 at (2,2) can now be determined
Know the Answer?
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» If x^2+3y^2=8+2xy, then d^2y/dx^2 at (2,2) =