I assume you mean the curve of length against applied force (or mass) for a wire. The beginning part of the curve should be a straight line, and this is where the deformation is elastic. When the substance passes its elastic limit, the line starts to curve up.
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You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.
In simple language, derivative is rate of change of something and integral represents the area of a curve whose equation is known.
x2 + y2 = r2 Where "x" and "y" represent the co-ordinates of any point on the curve relative to it's center point, and "r" represents it's radius. If you want to specify a curve that goes around a specific point (we'll call it {a, b}), then that can be expressed as: (x - a)2 + (y - b)2 = r2