Section 1
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approximation
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Last updated
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Date created
Mar 1, 2020
Cards (73)
Section 1
(50 cards)
approximation
An approximate calculation of quantity or degree or worth.
monotonic
A function that is only increasing or only decreasing.
critical point
A point on the graph of a function at which the derivative is either 0 or undefined.
absolute minimum
The lowest point of a function.
closed interval
An interval that contains its endpoints.
instantaneous rate of change
The rate of change (value of the derivative) at a particular moment.
amplitude
The distance a function is from the axis.
local extrema
A point where the graph has a peak or a valley.
non-removable discontinuity
A point at which a graph is connected.
even function
Symmetric with respect to the y-axis.
domain
The set of x-values for which a function is defined.
concave up
A part of the graph that looks like a smile.
left-hand limit
The value that a function is approaching as x approaches a given value through values less than x
differentiability
When a function has a well-defined derivative for each element of the domain.
discontinuity
A point at which the graph is not continuous.
absolute maximim
The highest point of a function.
mean value
The average of a set of numbers.
concave down
A part of the graph that looks like a frown.
acceleration
The rate of change of velocity over time.
inflection point
Where the function changes from concave up to concave down or vice versa.
axis of rotation
A line about which a figure is rotated to create a solid.
mean value theorem
f'(c)= f(b)-f(a)/b-a
differentiation
Obtaining the derivative of a function.
chain rule
f'(g(x))g'(x)
normal line
The line perpendicular to a function.
increasing function
A function that moves upward from left to right.
l'hopital's rule
Finding the derivative of the numerator and denominator to evaluate the limit of a function.
limit at infinity
Numerator is higher degree = does not exist. Numerator and denominator are same = division of coefficients. Denominator is higher degree = 0.
derivative
The slope of the line tangent to a function.
distance
The interval between two points.
continuity
When the graph of a function is continuous.
average rate of change
(〖f(x)〗_2-〖f(x)〗_1)/(x_2- x_1 )
asymptotes
A line or curve that the graph follows closely but never touches.
average value
(1/b-a) ∫f(x)dx from a to b
endpoints
Points on the end of a function.
implicit differentiation
y' = dy/dx
composition
Combining two functions by substituting one function's formula in place of each x in the other function's formula.
minimum
The lowest point on a graph.
bounded
When there is a range on a function or set of numbers.
maximum
The highest point on a graph.
instantaneous velocity
The rate at which an object is moving at a particular moment.
constant function
y= constant
base
exponential: a in the expression a^x logarithmic: b in the expression logb x
absolute value
The distance between a number and the origin.
axis of symmetry
A line of symmetry for a graph.
inverse function
A function obtained by switching the x and y variables in a function.
decreasing function
A function with a graph that moves downward from left to right.
critical value
The x-value of a critical point.
limit
The value that a function approaches as the domain variable approaches a specific value.
first derivative test
Determines whether a point is a minimum, maximum, or neither.
Section 2
(23 cards)