Difference Quotient Formula

About Difference Quotient Formula

The difference quotient is the name for the statement in single-variable calculus that, when taken to the limit when h approaches 0, produces the derivative of the function f. The slope of a line passing through two locations is calculated using the Difference Quotient Formula. It is also used in the derivative definition. Get the list of Maths Formulas.

Difference Quotient Formula

$\frac{f (x + h) - f (x)}{h}$

Solved Example of Difference Quotient Formula

Example: Find the distinction the quotient of the function f, as defined by

Sol: Step 1: Calculate

i.e., = 2(x + h) + 5 = 2x + 2h + 5

Step 2: Substitute and in the formula of the difference quotient.

$\frac{[f (x + h) - f (x)]}{h} = \frac{[2 (x - h) + 5 - (2 x + 5)]}{h}$

Step 3: Simplifying the above expression,= 2h/h = 2

Difference Quotient Formula

About Difference Quotient Formula