# How To Find And Simplify The Difference Quotient

## How To Find And Simplify The Difference Quotient? 10:16

13:37

So what is f of X plus h in its example well everywhere you see an X replace. It with X plus h soMoreSo what is f of X plus h in its example well everywhere you see an X replace. It with X plus h so it’s going to be 3 times X plus h squared plus 4 times X plus h minus 5 so all of this is f of X H.

## What does simplify the quotient mean?

The quotient rule of exponents allows us to simplify an expression that divides two numbers with the same base but different exponents. … In other words when dividing exponential expressions with the same base we write the result with the common base and subtract the exponents.

## What does find the difference quotient mean?

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). The limit of the difference quotient (i.e. the derivative) is thus the instantaneous rate of change.

## How do you simplify?

To simplify any algebraic expression the following are the basic rules and steps:
1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2. Use the exponent rule to remove grouping if the terms are containing exponents.
3. Combine the like terms by addition or subtraction.
4. Combine the constants.

## What is the difference quotient formula?

FAQs on Difference Quotient Formula

The difference quotient formula is nothing but the slope of a secant line formula. The difference quotient of a function y = f(x) is given by [ f(x + h) – f(x) ] / h.

## How do you solve quotient rule?

What is the Quotient rule? Basically you take the derivative of f multiplied by g subtract f multiplied by the derivative of g and divide all that by [ g ( x ) ] 2 [g(x)]^2 [g(x)]2open bracket g left parenthesis x right parenthesis close bracket squared.

## How do you solve a quotient equation?

The steps we take to find the difference quotient are as follows:
1. Plug x + h into the function f and simplify to find f(x + h).
2. Now that you have f(x + h) find f(x + h) – f(x) by plugging in f(x + h) and f(x) and simplifying.
3. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

## What is an example of simplify?

Simplify is to make something less complicated or less cluttered. An example of simplify is when you explain a tough math concept in really easy terms for a child to understand. An example of simplify is when you cut out a lot of the activities that were making you busy and stressed.

## What is simplify mean in math?

maths to reduce (an equation fraction etc) to a simpler form by cancellation of common factors regrouping of terms in the same variable etc.