Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/12%3A_Introduction_to_Calculus/12.05%3A_DerivativesChange divided by time is one example of a rate. The rates of change in the previous examples are each different. In other words, some changed faster than others. If we were to graph the functions, we...Change divided by time is one example of a rate. The rates of change in the previous examples are each different. In other words, some changed faster than others. If we were to graph the functions, we could compare the rates by determining the slopes of the graphs.
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2410%3A_Calculus_1_(Beck)/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_ChangeIn this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velo...In this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velocity in physics, population growth rates in biology, and marginal functions in economics.
- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/03%3A_Functions/3.08%3A_DerivativesChange divided by time is one example of a rate. The rates of change in the previous examples are each different. In other words, some changed faster than others. If we were to graph the functions, we...Change divided by time is one example of a rate. The rates of change in the previous examples are each different. In other words, some changed faster than others. If we were to graph the functions, we could compare the rates by determining the slopes of the graphs.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus_(2e)/01%3A_Functions/1.04%3A_Behavior_of_Graphs_of_FunctionsThis section analyzes the behavior of function graphs, including identifying intervals of increase or decrease, local maxima and minima, and symmetry. It also explores how to calculate and interpret t...This section analyzes the behavior of function graphs, including identifying intervals of increase or decrease, local maxima and minima, and symmetry. It also explores how to calculate and interpret the average rate of change and examine extrema using graphing techniques. Examples demonstrate analyzing and sketching functions based on these behaviors.
- https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_ChangeIn this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velo...In this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. These applications include acceleration and velocity in physics, population growth rates in biology, and marginal functions in economics.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.01%3A_Functions/1.1.04%3A_Rates_of_Change_and_Behavior_of_GraphsIn this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determin...In this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determined using only the beginning and ending data. Identifying points that mark the interval on a graph can be used to find the average rate of change. Comparing pairs of input and output values in a table can also be used to find the average rate of change.
- https://math.libretexts.org/Workbench/1250_Draft_3/02%3A_Functions/2.04%3A_Rates_of_Change_and_Behavior_of_GraphsIn this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determin...In this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determined using only the beginning and ending data. Identifying points that mark the interval on a graph can be used to find the average rate of change. Comparing pairs of input and output values in a table can also be used to find the average rate of change.
- https://math.libretexts.org/Courses/Lorain_County_Community_College/Book%3A_Precalculus_Jeffy_Edits_3.75/02%3A_Linear_and_Quadratic_Functions/2.01%3A_Linear_FunctionsPage notifications Off Save as PDF Share Table of contents Contributors We now begin the study of families of functions. Our first family, linear functions, are old friends as we shall soon see. ...Page notifications Off Save as PDF Share Table of contents Contributors We now begin the study of families of functions. Our first family, linear functions, are old friends as we shall soon see. Recall from Geometry that two distinct points in the plane determine a unique line containing those points.
- https://math.libretexts.org/Bookshelves/Algebra/College_Algebra_1e_(OpenStax)/03%3A_Functions/3.04%3A_Rates_of_Change_and_Behavior_of_GraphsIn this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determin...In this section, we will investigate changes in functions. For example, a rate of change relates a change in an output quantity to a change in an input quantity. The average rate of change is determined using only the beginning and ending data. Identifying points that mark the interval on a graph can be used to find the average rate of change. Comparing pairs of input and output values in a table can also be used to find the average rate of change.
- https://math.libretexts.org/Courses/Chabot_College/MTH_15%3A_Applied_Calculus_I/03%3A_The_Derivative/3.05%3A_Rates_of_Change_and_Marginal_AnalysisIf f(x) is a function defined on an interval [a,a+h], then the amount of change of f(x) over the interval is the change in the y values of the function over that interval and is given ...If f(x) is a function defined on an interval [a,a+h], then the amount of change of f(x) over the interval is the change in the y values of the function over that interval and is given by The average rate of change of the function f over that same interval is the ratio of the amount of change over that interval to the corresponding change in the x values.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT301_Calculus_I/03%3A_Derivatives/3.06%3A_Derivatives_as_Rates_of_ChangeIf f(x) is a function defined on an interval [a,a+h], then the amount of change of f(x) over the interval is the change in the y values of the function over that interval and is given ...If f(x) is a function defined on an interval [a,a+h], then the amount of change of f(x) over the interval is the change in the y values of the function over that interval and is given by The average rate of change of the function f over that same interval is the ratio of the amount of change over that interval to the corresponding change in the x values.
