The Gradient of a Curve Lesson Objectives

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The Gradient of a CurveLesson Objectives
I cant find the gradient of a curve
If I find the gradient of a tangent to the curve
at a point Ive found the gradient of the curve
at that point.
I cant find the gradient of a tangent accurately
I can use chords to estimate the gradient of a
tangent
Repeat this for lots of points and try to spot a
pattern.
Use the pattern to make an educated guess about
the formula for finding the gradient of the curve.
Prove it!