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Rate of change = amount of change in some period of time/amount of time for the change
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
True
An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.
The calculus operation for finding the rate of change in an equation is differentiation. By taking the derivative of the equation, you can find the rate at which one variable changes with respect to another.
Rate of change = amount of change in some period of time/amount of time for the change
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
True
An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.
It is an equation in which one of the terms is the instantaneous rate of change in one variable, with respect to another (ordinary differential equation). Higher order differential equations could contain rates of change in the rates of change (for example, acceleration is the rate of change in the rate of change of displacement with respect to time). There are also partial differential equations in which the rates of change are given in terms of two, or more, variables.
The word equation used to calculate acceleration is: acceleration = change in velocity / time taken. This equation quantifies how an object's velocity changes over a period of time, giving a measure of its rate of acceleration.
It is not a even a valid equation since "rate" is not a well-defined term. Rate is simply the average change in something per unit of time. If properly defined, it is an equivalence relationship.
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.