the slope of the tangent line to a curve at a particular point on the curve.
Are those that have a value of ±∞, where the function grows without bound as it approaches some value a
This means that at any value of x, the rate of change or slope of csc(x) is –csc(x)cot(x)
2 or more equations each over a specific domain
used in calculus when you are asked to take the derivative of a function that is the multiplication of a couple or several smaller functions.
the trigonometric function that is equal to the ratio of the side opposite a given angle to the hypotenuse
a method of finding the derivative of an implicit function by taking the derivative of each term with respect to the independent variable
a value that results from dividing the change in a function of a variable by the change in the variable
the set of all real numbers for which the expression is defined
This means that at any value of x, the rate of change or slope of cot(x) is –csc2(x)
An angle in a right triangle is the ratio of the opposite side to the adjacent side
the value that a function or sequence "approaches" as the input or index approaches some value
rigorous formulation of the intuitive concept of a function that varies with no abrupt breaks or jumps.
the amount of space inside a three-dimensional object, or its capacity.
a quick tool for finding the derivative of a function.
Down
line or plane that touches a curved surface but doesn't intersect it.
is the behavior on one only one side of the value where the function is undefined.
The rate of change of a line.
the formula used for finding the derivative
A point at which a function is not continuous or is undefined, and cannot be made continuous by being given a new value at the point.
social structure where participants engage in the depths and intricacies of mathematical thinking, propagate the culture of doing mathematics, and create knowledge.
a formula for computing the derivative of the composition of two or more functions
a method of finding the derivative of a function that is the ratio of two differentiable functions.
the trigonometric function that is equal to the ratio of the side adjacent to an acute angle to the hypotenuse.
any segment of the circumference of a circle.
a curve is a line that intersects two points on the curve.
is a line that intersects two points on the curve.
a series of points, discrete or continuous, as in forming a curve or surface, each of which represents a value of a given function.
a description of a system using mathematical concepts and language.
able to be taken off or away from the position occupied
assigns each element in a domain of a relation to exactly one element in the range. Vertical Line Test, solve and get ±-see if any x value has two or more y value
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