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Saturday, December 12, 2020

What Does Difference Quotient Mean

Difference quotient used to calculate the slope of the secant line between two points on the graph of a function f. Just to review a function is a line or curve that has only one y value for every x value.

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Secant line any line that passes between two points on a curve.

What does difference quotient mean. By a slight change in notation and viewpoint for an interval a b the difference quotient. It might look intimidating but it s easier to solve than it looks because many of the terms cancel out. The difference quotient is a measure of the average rate of change of the function over an interval in this case an interval of length h.

Difference quotient is used to calculate the slope of the secant line between two points on the graph of a function f. The difference quotient is one way to find a derivative or slope of a function. The limit of the difference quotient i e the derivative is thus the instantaneous rate of change.

The difference quotient is a measure of the average rate of change of the function over an interval in this case an interval of length h.

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