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Are you struggling with finding the Difference quotient of a mathematical expression? Look no further! Our Difference quotient calculator with steps is here to help. With this tool, calculating the Difference quotient for any given function is just a few clicks away.

To use the calculator, simply follow these three easy steps:

- Input the mathematical expression in the provided text field.
- Select the variable for which you wish to calculate the Difference quotient.
- Click the “Calculate” button. Once you do, a window will appear with a step-by-step explanation of the solution.

It’s that easy! Start using our Difference quotient calculator today and make your mathematical calculations a breeze.

The difference quotient for the function *f* is given by the expression

The difference quotient formula

The difference quotient is a mathematical concept used to measure the rate of change of a function f(x) with respect to x over a given interval [x, x+h]. It is calculated by finding the slope of the secant line that intersects the curve y=f(x) at two points: (x, f(x)) and (x+h, f(x+h)).

Next we will show you how to find the difference quotient using an example generated with the help of our Difference quotient calculator:

Find the difference quotient for *f*(*x*) = *x**x*+3

The difference quotient is given by

*f*(*x*+*h*)−*f*(*x*)*h* e.1

To find*f*(*x*+*h*), plug *x* + *h* instead of *x*:

*f*(*x*+*h*) = *x*+*h*(*x*+*h*)+3

Finally we substitute the values of*f(x+h)* and *f(x)* into e.1:

*f*(*x*+*h*)−*f*(*x*)*h* = *x*+*h*(*x*+*h*)+3 − *x**x*+3 *h*

*f*(*x*+*h*)−*f*(*x*)*h* = 3(*x*+3+*h*)·(*x*+3)

The difference quotient is given by

To find

Finally we substitute the values of

Example 01: difference quotient of 1/x

Example 02: difference quotient of x^{2}/(x^{2}+3x)