Question

A point at which f(x,y) is neither maximum nor minimum is called​

Answer 1

(A) If f(x)=x
2

f
′
(x)=2x so f(x) have minima at x=0
(B) f(x)=cosx
f
′
(x)=−sinx so f(x) have maxima at x=0
(C) f(x)=x
3
−8
f
′
(x)=3x
2
so f(x) is neither maxima nor minima


MARK ME AS A BRAINLIEST

Answer 2

Given:

The function f(x, y) having a point P which is neither maxima nor minima

Find:

The name of that point

Solution:

If any function f (x, y) have critical point say (a, b) then (a, b) can be

(a) Maximum point

(b) Minimum Point

(c) Saddle Point

Therefore saddle point is the correct answer to the question.