A difference Quotient Calculator is a tool used to display the slope of the secant line between two points. Our Online Difference Quotient Calculator makes it fast and easy.
How to Use the Difference Quotient Calculator?
The process for using the difference quotient calculator is as follows:
Step 1: Enter two functions in the individual input field
Step 2: Now click the button “Calculate Quotient” to get the solution
Step 3: The difference quotient will be shown in the new window
Difference Quotient Formula
The difference quotient equation calculates the approximated form of the derivative as:
$$ f(x) = f(x + h) – f(x) / h $$
Where “h” is the step size and f(m) is a function. This computes the rate of change of given function f(x) over the interval [x, x + h].
Difference Quotient Example:
Example #1:
Solve the difference quotient of a function (f) defined by
$$ F(x) = x^2 + 4 $$
Solution:
The formula to find Difference Quotient is:
$$ f(x) = f (x + h) – f (x) / h $$
To find f(x + h), put x + h instead of x:
$$ f (x + h) = (x + h)^2 + 4 $$
Then,
$$ f(x) = f (x + h) – f (x) / h $$
$$ f(x) = ((x + h)^2 + 4) – (x^2 + 4) $$
$$ = h + 2x $$
Related Calculators
FAQ:
Who found the difference quotient?
Does the average rate of change the same as the slope?
What is a quotient function?
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