Posts Tagged ‘direction’

Determine the Gradient of a Function of Three Variables – Exponential

This video explains how to determine the gradient vector field of a function of three variables.

Determine the Gradient of a Function of Three Variables – Polynomial

This video explains how to determine the gradient vector field of a function of three variables.

 

Find Velocity, Speed, Direction, and Acceleration Given Vector Function

This video explains how to determine the velocity, speed, direction, and acceleration give a position vector-valued function.

Ex: Find the Gradient of the Function f(x,y)=xy

This video explains how to find the gradient of a function of two variables.   The meaning of the gradient is explained and shown graphically.

Ex: Find the Gradient of the Function f(x,y)=e^(2x)sin(3y)

This video explains how to find the gradient of a function of two variables.

Ex: Find the Gradient of the Function f(x,y)=5xsin(xy)

This video explains how to find the gradient of a function of two variables.   The meaning of the gradient is explained and shown graphically.

Ex: Use the Gradient to Find the Maximum Rate of Increase of f(x,y)=(4y^5)/x from a Point

This video explains how to use the gradient of a function of two variables to determine the maximum rate of a function of two variable from a given point.  The results are explains graphically.