Practice question · True or false
A saddle point is a critical point where the function is a maximum in one direction and a minimum in another.
Hints
- Picture a mountain pass.
- It is the highest point along one path and the lowest along another.
Show the answer
True
Why
The mountain-pass analogy: highest point on the ridge, lowest point in the valley, a critical point that is neither max nor min overall.
Practise Unconstrained Multivariable Extrema
The app has 6 more questions on this lesson, and keeps your place in the course. Business I is free to start.
More questions on Unconstrained Multivariable Extrema
- A saddle point is a maximum in one direction and a minimum in another. Why does a manager who tests only one…
- Which conditions guarantee a local maximum at a critical point?
- Complete the Hessian test.
- Order the steps of finding and classifying a multivariable extremum.
- Match each concept to its definition.
- For f(x,y) = x² - y², the origin is a critical point. fxx = 2, fyy = -2, fxy = 0. The determinant is: