# 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.

# Show the Gradient to a Surface Using 3D Calc Plotter

This video using 3D Calc Plotter to illustrate the meaning of a gradient vector.

# Find the Gradient Vector Field of f(x,y)=x^3y^5

This video explains how to find the gradient of a function.  It also explains what the gradient tells us about the function.  The gradient is also shown graphically.

# Lagrange Multipiers: Find the Max and Min of a Function of Two Variables

This video explains how to use Lagrange Multipliers to maximum and minimum a function under a given constraint.  The results are shown in using level curves.

# Maximize a Function of Two Variable Under a Constraint Using Lagrange Multipliers

This video explains how to use Lagrange Multipliers to maximize a function under a given constraint.  The results are shown in 3D.

# Maximize a Cobb Douglas Production Function Using Lagrange Multipliers

This video explains how to use Lagrange Multipliers to maximize a function under a given constraint.  The level curves are shown.