How to find maximum curvature for a vector function at a particular point

To find curvature at a particular point, we’ll 1) Find r'(t) and use it to 2) Find |r'(t)| and then use r'(t) and |r'(t)| to 3) Find T(t), and then use it to 4) Find T'(t), and then use it to 5) Find |T'(t)|, and then use |r'(t)| and |T'(t)| to 6) Find curvature at the point t that we’re interested in.

Learn mathKrista KingJune 2, 2021math, learn online, online course, online math, calculus iii, calculus 3, calc iii, calc 3, vector calculus, vector calc, maximum curvature, curvature, curvature of a vector function, maximum curvature of a vector function, vector function, vector curvature, vector maximum curvature

Finding curvature of the vector function

To find curvature of a vector function, we need the derivative of the vector function, the magnitude of the derivative, the unit tangent vector, its derivative, and the magnitude of its derivative. Once we have all of these values, we can use them to find the curvature.

Learn mathKrista KingDecember 26, 2020math, learn online, online course, online math, calculus 3, calculus iii, calc 3, calc iii, vectors, vector functions, curvature, curvature of a vector function, unit tangent vector, magnitude, magnitude of the derivative, kappa

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