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)]/g^{2}(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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