Question

Find the slope of the tangent to the curve y = x² – x at the point where the line y = 2 cuts the curve in the first quadrant.

Answer 1

Given curve is y = x² – x

The given curve cut the line y = 2 at the point (2, 2)

Now, dy/dx = 2x – 1

Thus, m = (dy/dx)_{(2, 2)} = 2.2 – 1 = 3