The point on the curve y = 12x – x2 where the slope of the tangent is zero will be
Given that the curve y = 12x – x2
The slope of the curve
Given that the slope of the tangent = 0
⇒ 12 – 2x = 0
⇒ x = 6
So, y = 72 – 36
⇒ y = 36
So, the correct option is D.