Let (x, y) = 4 x 2 y 2 + e 2x and y(x) = e
Question:
Let ƒ(x, y) = 4 − x2y2 + e2x and y(x) = ex/x . Define g(x) = ƒ(x, y(x)).
(a) Use the derivative formula from Exercise 17(a) to prove that g (x) = 0 and therefore that g is a constant function.
Data From Exercise 17(a)
(b) Express g(x) directly in terms of x, and simplify to show that g is indeed a constant function.
Transcribed Image Text:
(a) Show that g'(x) af af dx + Jy '(x).
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a We have Then af x Thus gx is indeed constant 2xy 2ex yx af a...View the full answer
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