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Arc Length for Parametric Equations
L = ∫βα √ ((dx/dt)2 + (dy/dt)2) dt
Note: that we could have utilized the second formula for ds above is we had supposed instead that
dy/dt > 0 for α < t < β
If we had moved out this route in the derivation we would have gotten similar formula.
A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the
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Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx) = f´(x) = 0 ii.The second derivative, which i
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