The words contained in this file might help you see if this file matches what you are looking for:
...Math calculus iii practice exam solutions fall let g x y z e a what is the instantaneous rate of change at point in direction origin wewant directional derivative vector this i j k and unit u thegradient gradg particular then b suppose that piece fruit sitting on table room each space within gives strength odor fur thermore certain bug always ies which increases fastest also with speed feet second velocity when it position since has so kgradg path particle given by functions t cos sin temperature function h find dh s dt actual not your answer will be terms derivatives dx dy dz sint cost we know all points positive zero or negative f xy normal to level curve where gradient nd gradf equation line tangent c graph thegraphis surface gradi ent have now d plane linear approximation l near first get numbers fy quadratic q weneed some more xx fyy fxy fxx for following determine set di erentiable brie explain how you use picture if helps do prove just identify based understanding means circle c...