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Differentiation of the function would give you an instantaneous rate of change at one point; the tangent line. Repeated differentiation of some functions would give you many such points.

f(x) = X3

= d/dx( X3)

= 3X2

=======graph and see

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Kendrick Rau

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3y ago

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Related Questions

How do you find rate of change if change is not constant?

Find the derivative


How to find the constant rate of change?

To find the constant rate of change is by taking the final minus initial over the initial.


Why do take derivative?

To find rate of change. Two common examples are: rate of change in position = velocity and rate of change of velocity = acceleration.


What equation do you use to find the rate of change?

Rate of change = amount of change in some period of time/amount of time for the change


What is the every-day use of a derivative?

To find the rate of change. Velocity, for example, is the rate of change of distance - in a specified direction. Acceleration is the rate of change of velocity.


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How do you find the rate of change on a table?

To find the rate of change on a table: the input is X and the output is Y (the left side is X and the right is Y). The formula for the rate of change is: Change of the dependent variable over change of independent variable or y over x. ^^^ I understood NONE of that...


How do you find the varying rate of change in temperature?

Meaningless question.


How do you find the rate of change from graphs?

Differentiate the graph with respect to time.


How do you find constant rate of change?

To find the constant rate of change, you need two points on a linear relationship, typically represented as (x1, y1) and (x2, y2). The rate of change is calculated using the formula: ( \text{Rate of Change} = \frac{y2 - y1}{x2 - x1} ). This gives you the slope of the line, indicating how much y changes for a unit change in x. If the relationship is linear, this rate remains constant across the entire range of x.


How do you find the rate of change on a graph?

To find the rate of change on a graph, you can identify two points on the curve and calculate the difference in the y-values (vertical change) divided by the difference in the x-values (horizontal change) between those points. This is often referred to as the slope of the line connecting the two points. For linear graphs, this slope remains constant, while for nonlinear graphs, the rate of change can vary at different intervals. You can also use calculus to find the instantaneous rate of change by determining the derivative of the function at a specific point.


How do you find rate of change using a graph?

To find the rate of change using a graph, identify two points on the graph, typically labeled as (x1, y1) and (x2, y2). Calculate the change in the y-values (Δy = y2 - y1) and the change in the x-values (Δx = x2 - x1). The rate of change is then determined by dividing the change in y by the change in x (Rate of Change = Δy / Δx). This gives you the slope of the line connecting the two points, indicating how much y changes for a unit change in x.