Hint | Answer |
Line or curve such that, tending to ∞, the distance between it and a given curve tends to 0 | |
A type of function for which, for each x, |f(x)| ≤ M, where M is a real number | |
The sign of the second derivative characterizes this quality of the graph of a function | |
Term for a function for which the derivative exists at each point in the domain | |
Collective term for maxima and minima of a function | |
Theorem that establishes the connection between derivatives and integrals | |
Type of series with a constant ratio between successive terms | |
A more crude term for a removable discontinuity | |
Type of integral that yields the set of all antiderivatives of a function | |
Type of discontinuity for which the left and right limits both exist but are not equal | |
Name of most common symbol used to represent curvature | |
Last name of co-founder of calculus | |
Theorem that states for certain functions, f(b) - f(a) = f'(c)(b - a) for some c∈(a,b) | |
Last name of other co-founder of calculus | |
Process that deals with finding the 'best' value under certain constraints | |
Rule that states (f(x)g(x))' = f'(x)g(x) + g'(x)f(x) | |
Rule that states (f(x)/g(x))' = [g(x)f'(x) - f(x)g'(x)]/g2(x) | |
Mathematician whose eponymous sum is often used to define definite integration | |
Theorem: If g(x)≤f(x)≤h(x) and lim(x→a) g(x) = lim(x→a) h(x) = L, then lim(x→a) f(x) = L | |
Line that touches a curve where the slope of the curve equals the slope of the line | |
Often refers to the value 1, as in the magnitude of such a vector or radius of such a circle | |
The rate and direction of change in position of an object; ds/dt, s = position | |
Energy transferred by a force acting through a distance; ∫F dx, F = force vector | |
These locations of the derivative are (some of the) critical points of the function | |
Special vertical line in the Cartesian plane that even functions are symmetrical about | |
Name of one example of a function whose derivative is itself | |
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