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be given by the equations Let f R2 R3 and 9: R R == f(x1, x2) = (e2x1+x2,3x21 - COS x1, x+12+2) 9(y1, y2,

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be given by the equations Let f R2 R3 and 9: R R == f(x1, x2) = (e2x1+x2,3x21 - COS x1, x+12+2) 9(y1, y2, y3) = (3y1 +242 + y, y - y3 + 1) (1) If F(x) = g(f(x)), find DF(0). [Hint: Don't compute F explicitly.] (2) If G(y) = f(g(y)), find DG(0).

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1 To find the total derivative of Fx gfx at x0 well use the chain rule and total derivative formula ... blur-text-image

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