Fichas
Methods Flash Cards
Fichas del conjunto (99)
- 1Quadratic formula
- 2—
- 3—
- 4—
- 5—
- 6—
- 7—
- 8—
- 9—
- 10—
- 11—
- 12—
- 13—
- 14—
- 15—
- 16—
- 17Closed interval
- 18Open interval
- 19Infinite
- 20Equation of a straight line
- 21—
- 22—
- 23—
- 24General equation of a conic
- 25Ellipse equation in standard form
- 26Ellipse equation in parametric form
- 27Hyperbola equation in standard form
- 28Hyperbola equation in parametric form
- 29Parabola in standard form
- 30Parabola in hyperbolic form
- 31Definition of the domainWhat goes into the function, the x values
- 32Definition of the codomainWhat may possibly come out of the function
- 33Definition of the rangeWhat actually comes out of a function, the y values
- 34Definition of a one-to-one functionEvery element of the range corresponds to one element of the domain
- 35Definition of an even functionSymmetrical about the y-axis
- 36Definition of an odd functionRotational symmetry about the origin
- 37Definition of a periodic functionGraph repeats itself every T
- 38Monotonically increasing
- 39Monotonically decreasing
- 40—
- 41—
- 42—
- 43Composite function
- 44Inverse functionwhere f(x) is one-to-one
- 45Conditions for a function f(x) to be continuous at c
- 46—
- 47—
- 48—
- 49nth term of an arithmetic sequence
- 50nth term of a geometric sequence
- 51Sum/difference rule
- 52Product rule
- 53Quotient rule
- 54Sandwich theorem
- 55Sum of n terms of an arithmetic series
- 56Sum to n terms of a geometric series
- 57Sum to infinity of a geometric series
- 58Properties of convergent series
- 59Divergence test
- 60Comparison test
- 61Ratio test
- 62Leibniz' theorem
- 63Absolute convergenceand it is said to converge absolutely.
- 64Formal definition of a derivative
- 65—
- 66—
- 67—
- 68—
- 69—
- 70—
- 71—
- 72—
- 73—
- 74—
- 75—
- 76—
- 77Product rule
- 78Quotient rule
- 79Chain rule
- 80Second derivative chain rule
- 81Leibniz rule for repeated differentiation of products
- 82The linearization of f(x) at x=a
- 83Extreme value theorem of continuous functionsIf f(x) is continuous at every point on [a,b] then f takes both its maximum and minimum values on this interval.
- 84Concave function ff is concave if any chord joining two points lies above the graph
- 85Convex function ff is convex is any chord joining two points lies below the graph
- 86Point of inflexionthen x is a point of inflexion
- 87L'Hôpital's rule (for functions)If f(a)=g(a)=0 (or f(a)=g(a)=∞), and we can evaluate f'(a) and g'(a), then
- 88Intermediate Value TheoremA function f(x) that is continuous at all
x∈[a,b] takes on every value between f(a) and f(b) - 89Rolle's TheoremSuppose that f(x) is continuous at all x∈[a,b] and it is differentiable at all x∈(a,b), and f(a)=f(b), then there is at least one value c∈(a,b) such that f'(c)=0
- 90The Mean Value TheoremSuppose that f(x) is continuous at all x∈[a,b], it is differentiable at all x∈(a,b) then there is at least one c∈(a,b) such that
- 91Constant Difference Theorem
- 92Maclaurin series
- 93Taylor series
- 94Remainder term, Taylor's theorem
- 95Remainder estimationwhere M and R are positive constants
- 96Scalar product
- 97Vector product
- 98Equation of a line (vectors)
- 99Equation of a plane (vectors)
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- Descripción
- Fichas sobre Methods Flash Cards, creado por Hannah Williams el 13/11/2017.
- Creado por
- Hannah Williams
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