The point A with coordinates (1, 4) lies on the curve with equation y = x 3

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The point A with coordinates (−1, 4) lies on the curve with equation y = x3 − 5x.

The point B also lies on the curve and has x-coordinate (−1 + h).

a. Show that the gradient of the line segment AB is given by h2 − 3h − 2.

b. Deduce the gradient of the curve at point A.

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