Posted by Anonymous on Friday, June 22, 2012 at 8:24am.
Did you mean "with respect to x" ?
If so then I would square both sides
y^2 = xy + 9
2y dy/dx = x dy/dx + y
2y dy/dx - x dy/dx = y
dy/dx(2y-x) = y
dy/dx = y/(2y-x) such that √(xy-9) ≥ 0
if you want that expression to be in terms of x only, (like you typed)
we have a mess ahead
we would have to solve
y^2 - xy - 9 = 0 for y in terms of x
y = (x ± √(x^2 +36) )/2
and sub that into dy/dx to get only x's
so I will wait for your clarification before I start that messy substitution.
Related Questions
Calculus - Find the derivative of the function y defined implicitly in terms of ...
Math - Implict differentiation - How do I find the value of d^2y/dx^2 for the ...
calculus - suppose a price-demand function p(x) is defined implicitly by x= p^3-...
AP calculus - Find (dy/dx) for the following implicitly defined function: 2x = ...
calculus - Find the derivative of the function using the definition of ...
Calculus (Please check my work!) - Suppose that y = f(x) = x^2 - 4x + 4. Then on...
calculus - A) How do you prove that if 0(<or=)x(<or=)10, then 0(&...
Calculus - find the first three non-zero terms of the ...
Calculus 1 - Could you please explain how to find the slope using the definition...
calculus - Suppose y is defined implicitly as a function of x by x^2+Axy^2+By^3=...
For Further Reading
