SOLUTION: Find the difference quotient of the following function f(x)=(3x+4)^2

Question 1008200: Find the difference quotient of the following function
f(x)=(3x+4)^2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's expand out f(x)

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Now compute f(x+h)

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With that info, we can finally find the difference quotient

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So the difference quotient of f(x) is

Side Note: if you let h approach 0, then turns into which is exactly the derivative of f(x).
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