productrule | | The integral of a function is the ______ under the curve |

tanx | | The rate of change of position with respect to time |

relativeextreme | | f(c)= 1/(b-a) times the integral of f(x) from a to b is the ______ ______ theorem (two words) |

meanvalue | | An equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates |

relatedrates | | Left-hand endpoint rectangular approximation method. The method of approximating a definite integral over an interval using the function values at the left-hand endpoints of the subintervals determined by a partition |

differentiation | | The antiderivative of 1 / x |

horizontalline | | A rule that assigns a unique element in a set R to each element in a set D. The set D is the domain of the function. The set of elements assigned from R is the range of the function |

concaveup | | The limit of sinx / x as x approaches zero equals ______ |

ninetysixx | | A function f for which f(-x)= f(x) for every x in the domain of f |

function | | The derivative of a function is negative when the function is ______ |

twentyfive | | Maximum or minimum |

horizontalasymptote | | The integral of sinx from 0 to t equals_____ |

sint | | The derivative of –cosx |

substitution | | A process for finding dy/dx when y is defined as a function as a function of x by an equation of the form f(x,y)=0 is _______ differentiation |

linearization | | tan(x)ln(e) equals_____ |

discontinuity | | The limit as x approaches zero in the equation 5x 25 |

piecewise | | A method of integrating complex integrals in which you replace the function with u |

sinx | | The equation of the slope 32x^3 |

decreasing | | A point in the interior of domain in which f' = 0 or f' does not exist |

one | | If a function f is not continuous at a point c, then c is a point of _______ of f. |

criticalpoint | | The derivative of an acceleration equation |

lnx | | A function that is defined by applying different formulas to different parts of its domain is a ______ function |

jerk | | Determined by taking the coefficients of the highest degree in the numerator over the denominator |

velocity | | If the second derivative is positive at a certain interval, then the graph is _____at that interval |

inflectionpoint | | The equation used for compounding interest continuously |

implicit | | L(x)= f(a) f ’(a)(x-a) |

area | | In the Cartesian coordinate plane, a line parallel to the x-axis |

LRAM | | A point where the graph has a tangent line and the concavity changes |

pert | | d/dx(uv)= u(dv/dx) v(du/dx) |

evenfunction | | The process of taking a derivative |