I have this problem I'm trying to solve without much success, it says:
The parabola y=c-x^2 is tangent to the hyperbola y=2/x.
Draw and find the tangent point and the corresponding parameter c.
Do I find the derivative of the hyperbola and then assume it is also the derivative of the parabola? (using some equation like that to find c at the tangent point of the two?)
Not sure how to do it...
How do I begin to solve this? (I dont remember anything about parabolas and hyperbolas)