Pre-Calc Homework Solutions 121

Pre-Calc Homework Solutions 121 - Chapter 3 Review 38 Use...

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Unformatted text preview: Chapter 3 Review 38. Use implicit differentiation. y 2 121 41. d 3 (y ) dx y3 y 2 cos x d (2 cos x) dx x x 1 d x dx x 1 (x 1)(1) (x)(1) (x 1)2 1 2y(x 1)2 d (y) dx d 2 y dx dy 2y dx dy dx 3y 2y (3y 2 y 1)y y y d dx 2 sin x 2 sin x 2 sin x 3y 2 1 2 sin x 3y 2 1 (3y 2 1)(2 cos x) (2 sin x)(6yy ) (3y 2 1)2 1)(2 cos x) (3y 2 (12y sin x) 1)2 2 sin x 3y2 1 39. d 3 (x ) dx x 3 y 3 1 d (1) dx d 3 (y ) dx 3x 2 3y 2y y y 0 x2 y2 d dx x y2 (y 2)(2x) (y 2)(2x) (x 2)(2y)(y ) y4 (x 2)(2y) y4 2xy 3 5 2 (3y 2 x y2 2 2 42. d 1/3 (x ) dx 1 2/3 x 3 (3y 2 1)2 cos x 12y sin 2 x (3y 2 1)3 2x 4 x 1/3 y 1/3 4 d (4) dx y 2x(x 3 y 3) y5 2x y5 d 1/3 (y ) dx 1 2/3 y y 3 0 x y d dx 2 y 3 x 2 y 3 x 2/3 2/3 y y y 2/3 x since x 3 y2 d 2 (y ) dx y3 1 2 x y 2/3 x 1/3 40. 1 xy (x) 2yy y y d d 2 (1) dx dx x 2 x2 2 1 x 2(2y) x 2y d 1 dx x 2y 1 d 2 (x y) (x 2y)2 dx 1 [(x 2)(y ) (x 2y)2 1 1 (x 2) 2 (x 2y)2 x y 1 1 2xy x 4y 2 y 1 2xy 2 x 4y 3 (y)(1) x2 y 2/3 x 1/3 y x2 2 1/3 1/3 x y ( x 5/3y 2/3 3 2 4/3 1/3 2 5/3 2/3 x y x y 3 3 x 2 y) (y)(2x)] 2xy 43. y 2x 3 3x 1, y 6x 2 3, y 12x, y (4) 12, and the rest are all zero. 44. y y y y (4) y (5) x4 , 24 3 x , 6 2 x , 2 x, 1, and the rest are all zero. ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.

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