MAT235Y1 Lecture Notes - Lecture 24: Fxx, Saddle Point, Partial Derivative
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The directional derivative of fin dir 1 1 1. It is largest smallest in the direction u in whichcase it. Ifflxo. no zo k theneflxo qo zo is perpendicular to. Thetangent plane to this stis and the normal. 0 line to the surface at lxo. no zo. 1 x2 42 the origin f attains its maximum at maxf f6. 0. Along the x axis we have koflx. no because 0 is critical point of fix 0 flo 0 t. tt. Similarly we that fglao 0 the maximum point l 0. 0. _a if distance around cab flx. me flab funcfcx. gl has a local max at cab for every cm in a small. Similarlywedefiuelocalminimumlzt f has a local min imax at cab and. If has partial derivatives at cab flab fg lab. Di critical points of fun cf are all points in which either vanish or error all partial derivatives the some partial derivatives are notdefined. wrnnnrzrnhlf. is focal. Note lab is local maximin lab is a critical.
