# difference quotient

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• And now for my final magic trick, I will perform the DIFFERENCE QUOTIENT!
• First, plug (x + h) into your function wherever you see an x.
• The difference quotient is f(x+h)-f(x) ------------- h
• Once you find f (x + h), you can plug your values into the difference quotient formula and simplify
• In the final step, use the subtraction sign to eliminate the parentheses and simplify the difference quotient.
• This formula computes the slope of the secant line through two points on the graph of f
• And that's it! That's how you get the difference quotient!
• Hmm, maybe I shouldn't have told them. A magician never reveals his secrets!
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