Curve, gradient and point.

a - ( (b) / (c+x^2) )

The line goes through (2, ) and the gradient of the curve is at its maximum at x= root6/3 (square root of 6 divided by 3)

Prove a = 1, b = 2, c = 2.

Can I please have a detailed solution to this? I've tried so many ways, been hours already. It was in the dydx and integration section.

sorry c wasnt 3, c = 2

For example, if the curve goes throught the point that means:


Have you tried something this way? Also with the other given information? ...

Yes I was aware it was a curve. I've tried something like that. Still ended up with 2 unknowns. and 3 in the other.

And the point where the gradient is its max. Stuck on how to get that equation. Or use that info. Would it be double derivative?

Yes, calculate the second derivative of the function, then let and enter therefore you can calculate .