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3.5: Derivatives as Rates of Change
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_Change
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 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.
3.5: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_Change
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 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.
3.5: Rates of Change and Marginal Analysis
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_Analysis
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 ...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.
4.1: Related Rates
https://math.libretexts.org/Courses/De_Anza_College/Calculus_I%3A_Differential_Calculus/04%3A_Applications_of_Derivatives/4.01%3A_Related_Rates
If two related quantities are changing over time, the rates at which the quantities change are related. For example, if a balloon is being filled with air, both the radius of the balloon and the volum...If two related quantities are changing over time, the rates at which the quantities change are related. For example, if a balloon is being filled with air, both the radius of the balloon and the volume of the balloon are increasing. In this section, we consider several problems in which two or more related quantities are changing and we study how to determine the relationship between the rates of change of these quantities.
3.6: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT301_Calculus_I/03%3A_Derivatives/3.06%3A_Derivatives_as_Rates_of_Change
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 ...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.
3.4: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/03%3A_Derivatives/3.04%3A_Derivatives_as_Rates_of_Change
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 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.
3.5: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2410%3A_Calculus_(Open_Stax)_Novick/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_Change
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 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.
3.6: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Tran)/03%3A_Derivatives/3.06%3A_Derivatives_as_Rates_of_Change
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 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.
3.5: Derivatives as Rates of Change
https://math.libretexts.org/Courses/SUNY_Geneseo/Math_221_Calculus_1/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_Change
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 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.
3.6: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Nguyen)/03%3A_Derivatives/3.06%3A_Derivatives_as_Rates_of_Change
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 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.
3.5: Derivatives as Rates of Change
https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Seeburger)/03%3A_Derivatives/3.05%3A_Derivatives_as_Rates_of_Change
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 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.

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