Purchase Solution

# Critical Points (Local Maximum, Local Minimum, Saddle Points)

Not what you're looking for?

(a) Find all the critical points of f = xy + yz - zx + xyz (Hint: set f = 0)
(b) Classify the critical point of f as local maximum, local minimum or saddle points.

See the attached file.

##### Solution Summary

The solution determines the critical points with details provided.

##### Solution Preview

Q (a) Find all the critical points of f = xy + yz - zx + xyz (Hint: set f '= 0)
Grad f = i(y -z + yz) + j(x + z + xz) + k(y - x + xy) = 0
Therefore,
y - z + yz = 0...(i)
x + z ...

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts