Advanced calculus : using differential functions of several variables, volume II / Tunc Geveci.
Material type:
Co-published with Cognella Academic Publishing.
Includes index.
1. The chain rule for functions of several variables -- Implicit differentiation --
2. Directional derivatives -- The chain rule and the gradient -- Functions of three or more variables --
3. Understanding local maxima and minima -- The definitions and preliminary examples -- The second derivative test for local extrema -- A plausibility argument for the second derivative test --
4. Absolute extrema -- Lagrange multipliers -- Maximizing output under budgetary constraints --
Index.
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