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calculu puzzle

maria Jaffari

Calculus

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Across
6.the rate of change of position with respect to time.
9.minimum the highest/lowest point on the curve. The y-value being the absolute max or min and the x-value is where it occurs.
13.either a relative minimum or relative maximum
17.The x-value where the curve switches concavity
18.given f(x),what test is used to find increasing and decreasing intervals of f(x)
21.the derivative of -cosx
22.Let f be continuous on the closed interval [a,b] and differentiable on open interval. If f(a) = f(b), then there id at least one number c in (a,b) that f '(c) = 0
Down
1.an equation involving 2 or more variables that are differentiable functions of time that can be used to find and equation that relates the corresponding rates
2.a point on the function where there is a horizontal tangent at the x-value
3.determined by taking the coefficients of the highest degree in the numerator over the denominator
4.in the cartesian coordinate plane, a line parallel to the x-axis
5.occurs when the curve switches from increasing to decreasing
7.x-values on the function where the function has a slope of zero, or where the function is non differentiable
8.is the 2nd derivative is positive along that interval the graph of the function will be
10.the second derivative of position is
11.the slope of a tangent line
12.the derivative of a function is negative when the function is
14.occurs when the curve switches from decreasing to increasing
15.if the 2nd derivative is negative at a certain interval then the graph in that interval will be
16.the horizontal asymptote of f(x) is the limit as x approaches what?
19.derivative of y = 90000034511900
20.The equation used to calculate compounding interest continuously

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