Mathematics · Calculus

Find the critical points and classify them for the function: f(x, y) = x2 + y2 - 4x - 6y + 13

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1Maximum at (2, 3), fmax = 0
2Minimum at (2, 3), fmin = 0✓
3Minimum at (1, 1), fmin = 9
4Saddle point at (2, 3)

Correct answer

Minimum at (2, 3), fmin = 0

Download Single Question PDF

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Share with Friends & Study Groups

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Calculus?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Calculus MCQs →

Recommended practice questions in Mathematics · Calculus

Browse More Mathematics →

Which of the following events is considered a major turning point that fueled Indian nationalism during British rule due to its brutal nature and widespread condemnation?

Solve Question→

Which of the following events is considered the first major peasant uprising against the British in India?

Solve Question→

Find the critical points and classify them for the function: f(x, y) = x2 + y2 - 4x - 6y + 13

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

Find the critical points and classify them for the function: f(x, y) = x2 + y2 - 4x - 6y + 13

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions