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# Turning to Calculus

The gradients and signs of functions are strongly related for any nice, smooth curve which you can draw. To get into the problem you can sketch small line segments and ask yourself: how can these be smoothly joined together?

Complications can arise for curves which turn suddenly or have gaps or become infinite at various points. Maybe you could think about creative ways to get from one place to the next.

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Age 16 to 18

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The gradients and signs of functions are strongly related for any nice, smooth curve which you can draw. To get into the problem you can sketch small line segments and ask yourself: how can these be smoothly joined together?

Complications can arise for curves which turn suddenly or have gaps or become infinite at various points. Maybe you could think about creative ways to get from one place to the next.