7. Prove that (x, y) =f (0,0) (x, y) = (0,0) (x, y) =f (0,0) (x, y)
Question:
7. Prove that
(x, y) =f (0,0)
(x, y) = (0,0)
(x, y) =f (0,0)
(x, y) = (0,0)
(x, y) =f (0,0)
(x, y) = (0,0)
is continuous on R 2 , has first-order partial derivatives everywhere on R 2 , but 1 is not differentiable at (0,0). 00. This exercise is used several times in this chapter and the next.
Let T E .C(Rn; Rm). Prove that T is differentiable everywhere on Rn with DT
(a) = T
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