Differentiation: The two tangents to the curve y=x^2 at the points where y=9 intersect at the point P. Find the coordinates of P.
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this is what I think:
if y=9, then 9=x^2 implies x=3 and x=-3
the slope of the tangent line at x=3 and x=-3 can be found by finding the derivative.
If you write both equations of each line, you should get that they intersect the y-axis at the same point which is (0,-9)
wow, i was confused about what the question was asking for and now it makes complete sense.