A few days ago
=)

Physics – find the slope of a hyperbola from the graph and given points?

So I had to graph these points, and the graph came out to a hyperbola. The question after just says find the slope(s) of the graph. The points are (0,200) (8,121) (16,77) (24,52) (32,38) (40, 30). I tried solving it the same way you would a parabola with the 3 points plugging into the equation y=ax^2+bx+c. And then solving the rest, but the equation I got did not work with all of the points. How do I find the slope?

Top 3 Answers
A few days ago
Haplo

Favorite Answer

I forget how to do it with pure algebra. But if you want a slope of a formula like y=ax^2+bx+c .

Just use this formula. Trust me. It is the right answer.

slope = 2ax +b

good luck,

Ali

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A few days ago
gitter1226
To get the slope of at any point of any graph, take the derivative. The derivative of y = ax^2 + bx + c is dy/dx = 2ax + b. So the slope of the curve at point (X, Y) is 2a(X) + b.

Take the derivative of your hyperbola function.

Good luck!

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4 years ago
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First we see if (2,a million) will lie on parabola or no longer.. f(2)=a million which satisfies this.. Now slope at a ingredient is discovered by ability of utilizing differential calculus.. by-manufactured from this quadratic is 6x-7..Substituting 2 in this we get 12-7=5..Cheers 🙂
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