Math1023 Directional Derivative Definition Demo
Loading the math board and drawing, please wait…
This example dynamically demonstrates the geometric meaning of the directional derivative using GeoGebra, showing the rate of change of a function at a point in any direction. Core math concepts include directional derivatives, vectors, orthogonal planes, and function graphs. Key GeoGebra commands used are NDerivative for derivative calculation, Vector for direction vectors, and OrthogonalPlane/Plane for drawing orthogonal planes. Suitable for university calculus courses to help visualize abstract derivative concepts.
GeoGebra Commands & Parameters
NDerivative(f, y) → dyNDerivative(f, x) → dxVector(P, (x0 + a, y0, f(x0, y0) + (a * dx(x0, y0)))) → vxVector(P, (x0, y0 + b, f(x0, y0) + (b * dy(x0, y0)))) → vyVector(O, (x0 + 1, y0, 0)) → iVector(O, (x0, y0 + 1, 0)) → jVector(O, O1) → uOrthogonalPlane(P, Vector[vx ⊗ vy]) → pPlane(O, O1, P) → q