Objective: I am trying to make a a graph consisting of two graphs 1) a base surface plot 2) a rectangular region that represents the Quadratic Approximation at a specific point(x0,y0)
Here is the Code:
Manipulate[
Show[basePlot,
Plot3D[coEfficientOne + (coEfficientTwo*(y -
y0)) + (coEfficientThree*(x - x0)*(y -
y0)) + (coEfficientFour*(x - x0)^2) + (coEfficientFive*(y -
y0)^2) + (coEfficientSix*(x - x0)), {x, x0 - \[Pi]/4,
x0 + \[Pi]/4}, {y, y0 - \[Pi]/4, y0 + \[Pi]/4}, PlotStyle -> Blue,
PlotRange -> All]], {x0, -2 Pi, 2 Pi}, {y0, -2 Pi, 2 Pi}]
NOTES: All the Coefficient variables are the coefficient terms of the Quadratic approximation of a function of two variables. The coefficients are made up of elements of x0 and y0 only
Please Help Thanks!