MTH 254 Lecture Notes - Lecture 16: Tangent Space, Necessity And Sufficiency, Maxima And Minima

• School: Oregon State University
• Department: Mathematics
• Course: MTH 254
• Professor: Gibson, Nathan

Document Summary

A , y - b , z - c > Set of vectors tangent to the plane. , fy , fz : cx - a. Fx t cy - b) fyt ( z. Cx - a , y - b , z - c. 7=0 fxcx - a ) fy ( y - b) t ( z. Ca , b) fx = fx ca , b ) fy= fly ( a , b ) L ( x , y ) the nearer to. Ca , b) , the better the approximation. L ( x , y ) ft c - Tangent plane is like a tangent line approximation at specific point . A function t has a local maximum value. Cx , y ) c in the domain within a neighborhood of ca , draw a circle around the point , if nothing. Local min has f c x , 4)