In: Math
(From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Review Exercises for Chapter 2, # 7)
Use the chain rule to find D ( f ∘ g ) ( − 1 , 2 ) for f ( u , v , w ) = ( v 2 + w 2 , u 3 − v w , u 2 v + w ) and g ( x , y ) = ( 3 x + 2 y , x 3 y , y 2 − x 2 ).