1.

Find the point on the curve y = 2x2 - 6x - 4 at which the tangent is parallel to the x -axis.

Answer»

We know that if tangent is parallel to x -axis then it’s slope is equal to 0.

m : dy/dx = 4x - 6

4x – 6 = 0

⇒ x = 3/2

At x = 3/2, y = -17/2

So, the required points are (3/2, -17/2).



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