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11 Jun 2020

Tangent Plane

Let be a differentiable function of one variable. Show that all tangent planes to the surface intersect in a common point.

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Rico Jay LaxaLv10

16 Aug 2020

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Related questions

Tangent Planes

Let be a differentiable function and consider the surface

Show that the tangent plane at any point on the surface passes through the origin.

Tangent Plane

Let be a point in the first octant on the surface , as shown in the figure.

(a) Find the equation of the tangent plane to the surface at the point .

(b) Show that the volume of the tetrahedron formed by the three coordinate planes and the tangent plane is constant, independent of the point of tangency (see figure).

Perpendicular Tangent Planes

In Exercises 45 and 46, (a) show that the surfaces intersect at the given point and (b) show that the surfaces have perpendicular tangent planes at this point.

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