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How to simplify the difference quotient

We will explore How to simplify the difference quotient can help students understand and learn algebra.

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How to Solve the Difference Quotient

Below is a list of steps that can be useful when calculating the difference quotient. Step 1: Find {eq}f (x+h) {/eq}. Complete this step by locating the x-variable within the given
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Find the Difference Quotient f(x)=4x+3

Consider the difference quotient formula. f (x+h)−f (x) h f ( x + h) - f ( x) h Find the components of the definition. Tap for more steps f (x+h) = h2 +2hx+ x2 f ( x + h) = h 2 + 2 h x + x 2 f (x) = x2 f

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Difference Quotient.pdf

The difference quotient for the function f is Yes, you have to memorize it. Now, for an example, perform the difference quotient on the function, f ( x) = x2 – 3 x – 4: Notice that

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Difference Quotient: Definition & Example

Using the difference quotient formula, the difference quotient of f (x) is, [ f (x + h) - f (x) ] / h. = [ ln (x + h) - ln x ] / h. = ln [ (x + h) / x ] / h (because by quotient property of logarithms, ln m - ln n =
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