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Across 5. 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 8. L(x)= f(a) + f ’(a)(x-a) 12. 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 14. The equation used for compounding interest continuously 15. Determined by taking the coefficients of the highest degree in the numerator over the denominator 16. A point in the interior of domain in which f' = 0 or f' does not exist 19. tan(x)ln(e) equals_____ 20. In the Cartesian coordinate plane, a line parallel to the x-axis 23. The integral of sinx from 0 to t equals_____ 24. A function f for which f(-x)= f(x) for every x in the domain of f 25. The derivative of a function is negative when the function is ______ 26. The rate of change of position with respect to time 27. The equation of the slope 32x^3 29. A function that is defined by applying different formulas to different parts of its domain is a ______ function 30. f(c)= 1/(b-a) times the integral of f(x) from a to b is the ______ ______ theorem (two words)

Down 1. The antiderivative of 1 / x 2. A point where the graph has a tangent line and the concavity changes 3. d/dx(uv)= u(dv/dx) + v(du/dx) 4. 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 6. The derivative of an acceleration equation 7. The process of taking a derivative 9. The integral of a function is the ______ under the curve 10. A method of integrating complex integrals in which you replace the function with u 11. If a function f is not continuous at a point c, then c is a point of _______ of f. 13. Maximum or minimum 17. 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 18. If the second derivative is positive at a certain interval, then the graph is _____at that interval 21. The limit of sinx / x as x approaches zero equals ______ 22. The limit as x approaches zero in the equation 5x + 25 28. The derivative of –cosx