Matematika Minat : X2 + Y = X3 + Y3 ; 4x2 + 12xy + 9y2 = 10

Matematika Minat

1. X² + Y = X³ + Y³

Penyelesaian :

2x + dy/dx = 3x² + 3y² dy/dx

dy/dx (1 - 3y²) = 3x² - 2x

dy/dx = x(3x - 2)/1 - 3y²

2. 4x² + 12xy + 9y² = 10

   8x + 12y + 12x.dy/dx + 18dy/dx = 0

dy/dx = -8x - 12y/ 12x+18y

dy/dx = -4(2x+3y)/6(2x+3y)

dy/dx = -2/3

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