C1 equations
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21 terms
Latin | English |
|---|---|
| (x - a)² + (y - b)² = r² |  Circle |
| m1 = m2 | Parallel Lines |
| y - y1 = m(x - x1) | Staight Line |
| m1 x m2 = -1 | Perpendicular Lines |
| b² - 4ac > 0 | 2 Real Roots |
| b² - 4ac = 0 | Repeated Root |
| b² - 4ac < 0 | No Real Roots |
| y = f(x) + a | Translate by a units parallel to y-axis |
| y = f(x - a) | Translate by a units parallel to x-axis |
| y = af(x) | Stretch parallel to y-axis by scale factor a |
| y = f(ax) | Stretch parallel to x-axis by scale factor 1/a |
| (x2 - x1)² + (y2 - y1)² = AB² | Length of a Line |
| (y2 - y1) / (x2 - x1) | Gradient of a Line |
| ([x1 + x2] / 2 , [y1 + y2] / 2) | Midpoint of a Line |
| dy/dx = 0 | Stationary Point |
| d²y/dx² > 0 | Local Min |
| d²y/dx² < 0 | Local Max |
| Perpendicular Gradient | Negative Recipricol of gradient |
| ( -b , c ) | Minimum Point of a(x + b)² + c |
| dy/dx > 0 | Increasing Function |
| dy/dx < 0 | Decreasing Function |
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