The point on the curve y = 12x – x 2 where the slope of the tangent is zero will be

Question

Philoid · Accepted Answer

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.