Gradient vector and tangentl line


Problem:

Gradient Vector and Tangentl Line

If g(x,y)= x-y^2, find the gradient vector (3,-1) and use it to find the tangent line to the level curve g(x,y)= 2 at the point (3,-1). Sketch the level curve, the tangent line, and the gradient vector.

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Mathematics: Gradient vector and tangentl line
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