# Limit Definition of the Derivative

Let g(x) = x^2 + x. Use the limit definition of the derivative to show that g'(x) = 2x + 1

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#### Solution Preview

By the limit definition of the derivative, we have

g'(x)= lim g(x+w)−g(x)

w→0 ...

#### Solution Summary

The limit definition of the derivative is applied.

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