Partial Derivatives - Directional Derivatives - Gradient - Scroll down for Videos
- Author:
- Jila
Which of the following is in the direction of tangent line to graph of the function at in x-direction?
Directional Derivative is the slope of the tangent line in a direction
In the below GegoGebra Sheet, we created a vector of length of the slope and in the direction of tangent line.; this way the visual effect is optimal.
The vector in the sheet is not the directional derivative; its magnitude is equal to the directional derivative.
(1) When direction is orthogonal to gradient, the directional derivative is zero.
(2) When is in the direction of gradient, the directional derivative is highest; the greatest ascent occurs.
(3) When is opposite of gradient, the greatest descent occurs.
x and y directions.
Directional Derivative is the slope of the line shown.
Here to make the