Solveeit Logo

Question

Question: The point (s) on the curve y<sup>3</sup> + 3x<sup>2</sup> = 12y where the tangent is vertical is (ar...

The point (s) on the curve y3 + 3x2 = 12y where the tangent is vertical is (are)

A

(±4/3,2)( \pm 4/\sqrt{3}, - 2)

B

(±11/3,1)( \pm \sqrt{11/3},1)

C

(0, 0)

D

(±4/3,2)( \pm 4/\sqrt{3},2)

Answer

(±4/3,2)( \pm 4/\sqrt{3},2)

Explanation

Solution

Put dxdy\frac{dx}{dy}= 0