MATH UN1102 Lecture Notes - Lecture 30: Effy Stonem, Implicit Function, Directional Derivative

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

Lix , y , t ) = flab , lt t fx ( a , b , c) ( x - al t f- y la , b. , c) ly - b) t fatal bill ( z - c ) If all partial derivatives , a point p , then f is differentiable at are continuous in a neighborhood of. P . fx = iffy - 1 477,312 not continuous. Non - example : irwsosinor fully ) =v tiny. Id rule : ( fo g) ( x ) = f- A glx ) b - fix ) c. = (guff, ) i f- h" y ) (cid:15482) ( fo f) it ) ( fo filth = Example : route on a map given by is f- ( x , y ) ( x itt , y ith where altitude.