Difference Quotient - Definition, Formula…
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How to simplify difference quotient? Plug x + h into the function f and simplify to find f (x + h). Find f (x + h) – f (x) by plugging in f (x + h) and f (x) and simplifying. Make sure to distribute the negative signs correctly. Factor out h from the numerator whenever possible. Plug your result from step 2 in for the numerator in the difference quotient and simplify it. When working with quadratic expressions, remember the algebraic property, ( m ± n) 2 = m 2 ± 2 m n + n 2, and apply the FOIL method whenever possible. When simplifying the numerator, f ( a + h) – f ( a), make sure to distribute the negative signs correctly. Factor out h from the numerator whenever possible. Plug x + h into the function f and simplify to find f (x + h). Now that you have f (x + h), find f (x + h) – f (x) by plugging in f (x + h) and f (x) and simplifying.
Plug x + h into the function f and simplify to find f (x + h).
Find f (x + h) – f (x) by plugging in f (x + h) and f (x) and simplifying. Make sure to distribute the negative signs correctly.
Factor out h from the numerator whenever possible.
Plug your result from step 2 in for the numerator in the difference quotient and simplify it.
When working with quadratic expressions, remember the algebraic property, ( m ± n) 2 = m 2 ± 2 m n + n 2, and apply the FOIL method whenever possible.
When simplifying the numerator, f ( a + h) – f ( a), make sure to distribute the negative signs correctly.
Now that you have f (x + h), find f (x + h) – f (x) by plugging in f (x + h) and f (x) and simplifying.
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