Physics Exam  >  Physics Questions  >  Consider the function f (x, y) = x3 − 3... Start Learning for Free
Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?
  • a)
    f has a local minimum at (0, 0)
  • b)
    f has a local maximum at (0, 0)
  • c)
    f has global maximum at (0, 0)
  • d)
    f has a saddle point at (0, 0)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. ...
The function f(x, y) = x^3 represents a cubic function. This means that the value of f(x, y) is the cube of the input x.

For example, if you input x = 2 into the function, f(2, y) = 2^3 = 8. Similarly, if you input x = -3, f(-3, y) = (-3)^3 = -27.

The function does not depend on the variable y, so it remains constant regardless of the value of y.
Free Test
Community Answer
Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. ...
A
Explore Courses for Physics exam
Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer?
Question Description
Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer?.
Solutions for Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the function f (x, y) = x3 − 3xy2, x,y ∈ ℝ. Which one of the following statements is TRUE?a)f has a local minimum at (0, 0)b)f has a local maximum at (0, 0)c)f has global maximum at (0, 0)d)f has a saddle point at (0, 0)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Physics tests.
Explore Courses for Physics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev