Math Question~ Pls help

2008-02-23 9:29 am
Given x²y + y³ = 2, determine y''

回答 (1)

2008-02-23 10:07 am
✔ 最佳答案
x²y + y³ = 2 -----(1)
diff. the equation (1) w. r. t. x
2xy + x² (y') = 0
y' = - 2xy / x² = -2y/x ------------(2)
diff. the equation (2) w. r. t. x
y'' = -2y/(-x²) - 2(y')/x
= 2y/x² - 2 (-2x/y)/x
= 2y/x² + 4/y



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