Engineering Calculus Notes 296

Engineering Calculus Notes 296 - discussion above could...

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284 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION which can be obtained from the parametrization of the full tangent plane by Fxing s = 0. (See ±igure 3.12 .) -1 0 1 2 -1 0 1 2 b −→ v x ±igure 3.12: Slicing graph of x 2 3 y 2 2 at y = 1 2 The combined picture, together with the normal vector and tangent plane, is given in ±igure 3.13 . The alert reader (this means you !) will have noticed that the whole
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Unformatted text preview: discussion above could have been applied to the graph of any dierentiable function of two variables. We summarize it below. Remark 3.5.2. If the function f ( x,y ) is diFerentiable at x = ( x ,y ) , then the plane tangent to the graph z = f ( x,y ) at x = x y = y ,...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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