Chabot Mathematics. §7.2 Partial Derivatives. Bruce Mayer, PE Licensed Electrical & Mechanical Engineer BMayer@ChabotCollege.edu. 7.1. Review §. Any QUESTIONS About §7.1 → MultiVariable Functions Any QUESTIONS About HomeWork §7.1 → HW-03. §7.2 Learning Goals.
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Chabot Mathematics
§7.2 PartialDerivatives
Bruce Mayer, PE
Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu
7.1
y&zChange; x does NOT
% Bruce Mayer, PE
% MTH-16 • 19Jan14
% Sec7_2_multi3D_1419.m
%
clear; clc; clf; % clf clears figure window
%
% The Domain Limits
xmin = -2; xmax = 2; % Weight
ymin = -sqrt(2); ymax = sqrt(2); % Height
NumPts = 20
% The GRIDs) **************************************
xx = linspace(xmin,xmax,NumPts); yy = linspace(ymin,ymax,NumPts);
[x,y]= meshgrid(xx,yy);
xp = ones(NumPts); % for PLANE
xL = ones(1,NumPts); % for LINE
xt = 1; yt =1; zt = 1; % for Tangent POINT
% The FUNCTION SkinArea***********************************
z = 4 -(x.^2) - (2*y.^2); %
zp = 4-xp.^2-2*y.^2
zL = 5-4*y %
% the Plotting Range = 1.05*FcnRange
zmin = min(min(z)); zmax = max(max(z)); % the Range Limits
R = zmax - zmin; zmid = (zmax + zmin)/2;
zpmin = zmid - 1.025*R/2; zpmax = zmid + 1.025*R/2;
%
% the Domain Plot
axes; set(gca,'FontSize',12);
whitebg([0.8 1 1]); % Chg Plot BackGround to Blue-Green
mesh(x,y,z,'LineWidth', 2),grid, axis([xminxmaxyminymaxzpminzpmax]), grid, box, ...
xlabel('\fontsize{14}x'), ylabel('\fontsize{14}y'), zlabel('\fontsize{14}z = 4 - x^2 - 2y^2'),...
title(['\fontsize{16}MTH16 • Bruce Mayer, PE',]),...
annotation('textbox',[.73 .05 .0 .1 ], 'FitBoxToText', 'on', 'EdgeColor', 'none', 'String', 'MTH16 Sec7 2 multi3D 1419.m','FontSize',7)
%
hold on
mesh(xp,y,zp,'LineWidth', 7)
plot3(xt,yt,zt,'pb', 'MarkerSize', 19, 'MarkerFaceColor', 'b')
plot3(xL,y,zL, '-k', 'LineWidth', 11), axis([xminxmaxyminymaxzpminzpmax])
%
hold off
Linear Approximation
PartialDerivatives
Chabot Mathematics
Appendix
Do On
Wht/BlkBorad
Bruce Mayer, PE
Licensed Electrical & Mechanical EngineerBMayer@ChabotCollege.edu
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