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AP Calculus AB Crossword

Minji Kwon

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Across
1.The y-coordinate of the point where a curve intersects the y-axis.
4.Line that touches curve at one point.
5./ If a function is continuous in certain interval, then f(x) exist in any value of interval.
6.Rule for finding the derivative of a product of two functions. If both f and g are differentiable, then (fg)′ = fg′ + f′g.
7.Point on the graph where the derivative is either 0 or undefined.
9.Rule for finding the derivative of a quotient of two functions. If both f and g are differentiable, then so is the quotient f(x)/g(x). In abbreviated notation, it says (f/g)′ = (gf′ − fg′)/g2.
10.The amount of change divided by the time it takes.
13.The theorem that defines the method for taking the derivative of a composite function.
14.A line such that the distance between the curve and the line approaches zero as they tend to infinity.
18.The ratio of the "rise" divided by the "run" between two points on a line.
19.Having a decreasing derivative as the independent variable increases, having a negative second derivative.
24.Zero
27.Graph that touches the curve at two points.
28.The greatest y-value that function achieves, occurs either at a local maximum or an endpoint.
30.A graph that has discontinuity where there are plural asymptotes involved.
31.The value that a function or sequence "approaches" as the input or index approaches some value.
32.line that is at a 90 degree angle, perpendicular to a surface.
33.The ability to take the derivative of a function.
34.The x-coordinate of the point where a curve intersects the x-axis.
Down
2.Form used the most when finding the equation of a line.
3.Rate at which an object is moving at a particular moment.
8.A function has this if the derivative changes signs from positive to zero to negative.
11.asymptote that is found by setting the denominator equal to 0.
12.A "hole" in a graph.
15.The smallest y-value that a function achieves, occurs either at a local minimum or an endpoint.
16.Instantenous Rate of Change
17.The rate of change of positions with respect to time.
20.Determines whether and inflection point is a minimum, maximum, or neither.
21.A function has this if the derivative changes signs from negative to zero to positive.
22.Undefined
23.A point or value of the independent variable at which the value of a function is not equal to its limit as the value of the independent variable approaches that point, or where it is not defined.
25.√[(x₂-x₁)²+(y₂-y₁)²]
26.The value that the function approaches at a given point.
29.Having an increasing derivative as the independent variable increases, having a positive second derivative.

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