61991
| Question | Answer |
| derivative of x(n)? | nx(n-1) |
| What does value of derivative at point P tell you? | Gradient of tangent at point P |
| If gradient of tangent of m, what is gradient of normal? | -1/m |
| if dy/dx is posotive at x=a, then is y increasing or decreasing? | increasing |
| if dy/dx is negative at x=a, then is y increasing or decreasing? | decreasing! |
| dy/dx = 0? | stationary points |
| at local maximum, does dy/dx go from pos to neg or neg to pos? local minimum? | pos to neg neg to pos |
| second derivative posotive? second derivative negative? | local minimum local maximum |
| intergrate x(n) | x(n+1)/n+1 |
| What value does an area below the x-axis have? | negative value |
| Trapezium rule h? how to improve estimate? cure below line segments? curve above line segments? | 0.5h(end ordinates + 2(sum of interior ordinates) gap between ordinates use more ordinates overestimate underestimate |
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