This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: a in the set A R n . State the Chain Rule for D ( F G )( a ). (b) (7pts) Let F ( x,y,z ) = ( x + y + z,x 3e yz ) and G ( s,t,u ) = ( st,tu,su ). Find D ( F G ) at the point (1 , 1 , 0) using the Chain Rule. 6. Let F ( x,y,z ) = xy + z + 3 xz 5 . (a) (2pts) What theorem is used to determine if the equation F ( x,y,z ) = c is solvable for z as a dierentiable function of ( x,y ) near a point? (b) (3pts) Show that if F ( x,y,z ) = 4, that this equation is solvable for z as a dierentiable function of ( x,y ) near the point (1 , , 1). (c) (2pts) Compute z x at (1 , 0). (d) (2pts) Are there any points of the surface F ( x,y,z ) = 4 where you can not solve for z as a dierentiable function of ( x,y )? Clearly explain your answer....
View
Full
Document
 Summer '08
 Staff
 Math, Calculus, Angles, Vectors

Click to edit the document details