Related Topics:

More Lessons for Engineering Mathematics

Math Worksheets

A series of free Engineering Mathematics video lessons. How to solve problems through the method of Lagrange multipliers?

**Lagrange multipliers**

Extreme values of a function subject to a constraint

Discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function f(x,y) := xy. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year university mathematics.
**Lagrange multiplier example**

Minimizing a function subject to a constraint

Discuss and solve a simple problem through the method of Lagrange multipliers. A function is required to be minimized subject to a constraint equation. Such an example is seen in 2nd-year university mathematics.

**Multivariable Calculus: Directional derivative of f(x,y)**

Present an example to calculate the derivative of a function of two variables in a particular direction. Take the derivative of f(x,y) := 1 - x^{2}/2 - y^{4}/4 in the direction of the vector u := (1,1). Solve the problem and discuss about the geometric meaning of the directional derivative.
**Lagrange multipliers example**

This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.

More Lessons for Engineering Mathematics

Math Worksheets

A series of free Engineering Mathematics video lessons. How to solve problems through the method of Lagrange multipliers?

Extreme values of a function subject to a constraint

Discuss and solve an example where the points on an ellipse are sought that maximize and minimize the function f(x,y) := xy. The method of solution involves an application of Lagrange multipliers. Such an example is seen in 1st and 2nd year university mathematics.

Minimizing a function subject to a constraint

Discuss and solve a simple problem through the method of Lagrange multipliers. A function is required to be minimized subject to a constraint equation. Such an example is seen in 2nd-year university mathematics.

Present an example to calculate the derivative of a function of two variables in a particular direction. Take the derivative of f(x,y) := 1 - x

This video shows how to apply the method of Lagrange multipliers to a max/min problem. Such ideas are seen in university mathematics.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.