Using a Function
In Exercises 67 and 68, (a) find the gradient of the function at P, (b) find a unit normal vector to the level curve at P, (c) find the tangent line to the level curve at P, and (d) sketch the level curve, the unit normal vector, and the tangent line in the xy -plane.

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Using a Function
In Exercises 67 and 68, (a) find the gradient of the function at P, (b) find a unit normal vector to the level curve  at P, (c) find the tangent line to the level curve  at P, and (d) sketch the level curve, the unit normal vector, and the tangent line in the xy -plane.

Using a Function

In Exercises 67 and 68, (a) find the gradient of the function at P, (b) find a unit normal vector to the level curve at P, (c) find the tangent line to the level curve at P, and (d) sketch the level curve, the unit normal vector, and the tangent line in the xy -plane.

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Using a Function In Exercises 67 and 68, (a) find the gradient of the function at P, (b) find a unit normal vector to the level curve at P, (c) find the tangent line to the level curve at P, and (d) sketch the level curve, the unit normal vector, and the tangent line in the xy -plane.