### AB Calculus Crossword Puzzle

Jelli Dorman and Alice Kister

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

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

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