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A tangent to a curve at a point is a straight line which touches but does not intersect the curve at that point. A slope of the curve at a point is defined as the slope of the tangent at that point on the curve.
Example
Consider the curve y = x2 - 3x + 3. The tangent to the curve at the point (2, 1) is shown below.
Figure
Later, after studying differential calculus, we may show that y = 2x - 3 is the tangent at (2, 1). Therefore, the slope of the curve at (2, 1) is 2.
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Submit your working in (neat) handwritten form (do not type up your solutions). For the plots that you generate in Maple or Matlab, you can print them out and attach them at the en
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