Answer:
dy/dx when x = 1 is (4y + 3) / 2.
Step-by-step explanation:
x^3 + 2x^2y - 4y=7
Using implicit differentiation:
3x^2 + 4xy + 2x^2.dy/dx - 4 dy/dx = 0
2x^2.dy/dx - 4dy/dx = -3x^2 - 4xy
dy/dx = (-3x^2 - 4xy ) / (2x^2 - 4)
When x = 1:
dy/dx = (-3 - 4y) / -2
= -1(4y + 3) / -2
(4y + 3)/ 2 (answer).
