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Erstellt von Hannah Williams
vor fast 7 Jahre
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Frage | Antworten |
Quadratic formula | |
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Sinh2x (binary/octet-stream)
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Cosh (binary/octet-stream)
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Tanh (binary/octet-stream)
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Sinh2x (binary/octet-stream)
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Cosh2x (binary/octet-stream)
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Logaa (binary/octet-stream)
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Loga1 (binary/octet-stream)
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Closed interval | |
Open interval | |
Infinite | |
Equation of a straight line | |
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Length (binary/octet-stream)
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General equation of a conic |
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Conic (binary/octet-stream)
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Ellipse equation in standard form | |
Ellipse equation in parametric form | |
Hyperbola equation in standard form | |
Hyperbola equation in parametric form | |
Parabola in standard form | |
Parabola in hyperbolic form | |
Definition of the domain | What goes into the function, the x values |
Definition of the codomain | What may possibly come out of the function |
Definition of the range | What actually comes out of a function, the y values |
Definition of a one-to-one function | Every element of the range corresponds to one element of the domain |
Definition of an even function | Symmetrical about the y-axis |
Definition of an odd function | Rotational symmetry about the origin |
Definition of a periodic function | Graph repeats itself every T |
Monotonically increasing | |
Monotonically decreasing | |
Composite function | |
Inverse function | where f(x) is one-to-one |
Conditions for a function f(x) to be continuous at c | |
nth term of an arithmetic sequence | |
nth term of a geometric sequence | |
Sum/difference rule | |
Product rule | |
Quotient rule | |
Sandwich theorem | |
Sum of n terms of an arithmetic series | |
Sum to n terms of a geometric series | |
Sum to infinity of a geometric series | |
Properties of convergent series | |
Divergence test | |
Comparison test | |
Ratio test | |
Leibniz' theorem | |
Absolute convergence | and it is said to converge absolutely. |
Formal definition of a derivative | |
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X To A (binary/octet-stream)
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Ln Ax (binary/octet-stream)
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Exp (binary/octet-stream)
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Product rule | |
Quotient rule | |
Chain rule | |
Second derivative chain rule | |
Leibniz rule for repeated differentiation of products | |
The linearization of f(x) at x=a | |
Extreme value theorem of continuous functions | If f(x) is continuous at every point on [a,b] then f takes both its maximum and minimum values on this interval. |
Concave function f | f is concave if any chord joining two points lies above the graph |
Convex function f | f is convex is any chord joining two points lies below the graph |
Point of inflexion | then x is a point of inflexion |
L'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 |
Intermediate Value Theorem | A function f(x) that is continuous at all x∈[a,b] takes on every value between f(a) and f(b) |
Rolle's Theorem | Suppose 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 |
The Mean Value Theorem | Suppose 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 |
Constant Difference Theorem | |
Maclaurin series | |
Taylor series | |
Remainder term, Taylor's theorem | |
Remainder estimation | where M and R are positive constants |
Scalar product | |
Vector product | |
Equation of a line (vectors) | |
Equation of a plane (vectors) |
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99 (binary/octet-stream)
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