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Question: The point on the curve y = 6x –x<sup>2</sup> where the tangent is parallel to x- axis is...

The point on the curve y = 6x –x2 where the tangent is parallel to x- axis is

A

(0, 0)

B

(2, 8)

C

(6, 0)

D

(3, 9)

Answer

(3, 9)

Explanation

Solution

dydx\frac{dy}{dx} = 6 – 2x = 0 ; x = 3 ; y = 9 ŗ (3, 9)