Draw a graph from the following data. Draw tangents at x = 2, 4, 6 and 8. Find the slopes of these tangents. Verify that the curve drawn is y = 2x2 and the slope of tangent is tanθ = dy/dx = 4x.
x 1 2 3 4 5 6 7 8 9 10
y 2 8 18 32 50 72 98 128 162 200