Is there a difference between average rate of change and a derivative?

The average rate of change gives the slope of a secant line, but the instantaneous rate of change (the derivative) gives the slope of a tangent line. Also note that the average rate of change approximates the instantaneous rate of change over very short intervals.

How is derivative related to rate of change?

The instantaneous rate of change measures the rate of change, or slope, of a curve at a certain instant. Thus, the instantaneous rate of change is given by the derivative. In this case, the instantaneous rate is s'(2).

What is the difference between slope and average rate of change?

The average rate of change is finding how much something changes over time. This is very much like finding the slope of a line. If you recall, the slope of a line is found by finding the change in y divided by the change in x. The average rate of change and the slope of a line are the same thing.

How does the average reaction rate differ from an instantaneous reaction rate?

The key difference between instantaneous rate and average rate is that instantaneous rate measures the change in concentration of reactants or products during a known time period whereas average rate measures the change in concentration of reactants or products during the whole time taken for the completion of the …

What is the difference between average rate of reaction and instantaneous rate of reaction?

The average rate is the change in concentration over a selected period of time. The instantaneous rate is the rate at a particular time. It is determined by finding the slope of the tangent to the concentration vs time curve at that time.

What is the difference between average and instantaneous rate?

The average rate is the change in concentration over a selected period of time. It depends on when you take the measurements. The instantaneous rate is the rate at a particular time. It is determined by finding the slope of the tangent to the concentration vs time curve at that time.

Why is instantaneous rate better than average?

Why is instantaneous rate preferred over average rate of reaction? The rate of reaction at any time depends upon one of the reactants at that time which is not constant but goes on decreasing with time continuously. Therefore, instantaneously rate gives more correct information at that time as compared to average rate.