Find dy/dx by implicit differentiation. 4x3 + x2y − xy3 = 5 please help!!!!!!!!!!?
回答 (2)
2016-02-19 10:31 pm
Will assume
4x³ + x² y - x y³ = 5
12x² + (2x) y + (dy/dx) x² - [ y³ + 3y² x dy/dx ] = 0
[ x² - 3y² x ] dy/dx = y³ - 12x² - (2x) y
dy/dx = [ y³ - 12x² - (2x) y ] / [ x² - 3y² x ]
4x³ + x² y - x y³ = 5
12x² + (2x) y + (dy/dx) x² - [ y³ + 3y² x dy/dx ] = 0
[ x² - 3y² x ] dy/dx = y³ - 12x² - (2x) y
dy/dx = [ y³ - 12x² - (2x) y ] / [ x² - 3y² x ]
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