SOLUTION: can you help me calculate the difference quotient(simplify when possible):
g(x)=x^2
i am really stuck
Algebra.Com
Question 943835: can you help me calculate the difference quotient(simplify when possible):
g(x)=x^2
i am really stuck
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The difference quotient is defined by }{\Delta x} = \frac{g(x + \Delta x) - g(x)}{\Delta x})
Substituting we get
}{\Delta x} = \frac{(x + \Delta x)^2 - x^2}{\Delta x} = \frac{2x \Delta x + \Delta x^2}{\Delta x} = 2x + \Delta x)
Note that as 
, we obtain the expression for the derivative of x^2 with respect to x, which is 2x.
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