Created by Ben Smith
almost 6 years ago


Question  Answer 
derivative of x(n)?  nx(n1) 
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 xaxis 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 