📐 Lagrange Multiplier Method | Max & Min of 3x+4y on Circle x²+y²=1 ✅ | Calculus | Example 1 |
ENGINEERING MATHEMATICA
0:00 / 0:00
📐 Lagrange Multiplier Method | Max & Min of 3x+4y on Circle x²+y²=1 ✅ | Calculus | Example 1 |
52 просмотра · 2 нед. назад
ENGINEERING MATHEMATICA
739 подписчиков
52 просмотра · 2 нед. назад
In this video, we solve a Lagrange multiplier problem step by step:
Find the maximum and minimum values of f(x,y) = 3x + 4y on the circle x² + y² = 1.
You will learn:
✔ How to form the auxiliary function F(x,y,λ)
✔ How to find the partial derivatives Fx and Fy
✔ How to solve for the stationary points
✔ How to find the maximum and minimum values
Final answer:
Maximum value = 5 at (3/5, 4/5)
Minimum value = -5 at (-3/5, -4/5)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
📚 RESOURCES & LINKS
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
📥 Download PDF Notes : https://engineeringmathematica.blogsp...
📲 WhatsApp Channel — Latest Updates & Tips:
https://whatsapp.com/channel/0029VaAU...
💬 WhatsApp Direct — Got Questions? Message Me:
https://wa.me/message/HM5KUVTAFENSA1
📢 Telegram — Download Study Materials:
https://t.me/engineerinmathematica
🧠 Full Course Playlist — MA25C01-UNIT II: • MA25C01-UNIT II - FUNCTION OF SEVERAL VARI...
📖 Read the full written solution with graph:
(paste your blog link here)
👍 Like, share and subscribe for more engineering maths solved problems.
#LagrangeMultiplier #Calculus #EngineeringMaths #MaximaMinima #Optimization