# What is the derivative of #f(x)=log(x^2+x)# ?

First we will apply the change-of-base rule:

Simplify a bit:

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To find the derivative of ( f(x) = \log(x^2 + x) ), you would use the chain rule and the derivative of the natural logarithm function. Applying the chain rule, the derivative is ( f'(x) = \frac{1}{x^2+x}(2x+1) ).

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