Let g: R3 →R2 be a differentiable function such that g(1, −1, 3) = (2,5) and the following equation is true.
Dg(1, −1, 3) =

1 −1 0
4 0 7
Suppose that f: R2→ R2 is defined byf(x, y) = (2xy, 4x –y + 8). What is D(f g)(1, −1, 3)?
D(f g)(1, −1, 3) ?

I am sort of confused on how to approach this. Is it wanting me to integrate to find D(f of g)?

Question

Let g: R3 →R2 be a differentiable function such that g(1, −1, 3) = (2,5) and the following equation is true.
Dg(1, −1, 3) =	
	
	
1	 −1	 0
4	 0	 7	
	Suppose that f: R2→ R2 is defined byf(x, y) = (2xy, 4x –y + 8). What is D(f  g)(1, −1, 3)?
D(f  g)(1, −1, 3) ? 

I am sort of confused on how to approach this. Is it wanting me to integrate to find D(f of g)?

waynex · Answer

Mind if I ask where you found this problem? I don't recognize this from the course material.