Diff + Int

Ben Smith
Flashcards by , created almost 6 years ago

Core 2 (Diff + Int) Flashcards on Diff + Int, created by Ben Smith on 04/29/2013.

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Ben Smith
Created by Ben Smith almost 6 years ago
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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