Finding the gradient of the tangent on a curve, starting with y=x² and x=2. By choosing a point on the curve students find the gradient of the chord between the points where x=2 and x=4, and then choose smaller chords using points closer to x=2. Extends to other points on y=x² and then other simple functions. Student will hopefully generalise for y=ax^n.

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    user avatardsc5052 years agoreport

    A nice little investigation into the principles of differentiation.