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Differential geometry

math study guide 4 grade

Subject: 
Algebra
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Geometry
Analytic geometry
Mathematics
Elementary geometry
Line
Differential geometry
Mathematical analysis

Math study guide Discrete a point is a dot T geometry a line is a set of dots in a row T a line has no thickness F 2 crossing lines intersect in a point F Synthetic a point is a physical dot F (exact location) Geometry a line is a set of points going in both directions going the shortest paths T A line has no thickness T A line extends 2 directions T Plane coordinate a point is an ordered pair of numbers not a # T Geometry a line is a set of ordered pairs that go with ax+by=c when they are both not 0 T

First derivatives

Subject: 
Calculus
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Mathematical analysis
Mathematics
Differential calculus
Differential geometry
Functional analysis
Functions and mappings
Generalizations of the derivative
Derivative
Maxima and minima
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The first derivative of a function can tell a lot about how the original function looks. The first derivative tells us the critical numbers, and when the original function is increasing or decreasing. Finding the critical numbers of a function is easy. You have a critical number anytime the derivative function equals 0, or if it does not exist. Critical numbers in the derivative usually tell us that there is a minimum, maximum, or a vertical asymptote. However, it does not guarantee a min/max.
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