Find the stationary point of the curve (y = 3x^{2} – 2x^{3}).
-
A.
(1, 0) -
B.
(-1, 0) -
C.
(1, 1) -
D.
(-1, -1)
Correct Answer: Option A
Explanation
(y = 3x^{2} – 2x^{3})
(frac{mathrm d y}{mathrm d x} = 6x – 6x^{2} = 0 implies 6x(1 – x) = 0)
(x = 0, 1), when x = 1, y = 0.
when x = 1, y = 0.
The stationary point is (1, 0)