`f(x) = log_10 (x^3 + 1)` Differentiate the function.

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Chapter 3, 3.6 - Problem 7 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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mathace | (Level 3) Assistant Educator

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Given: `f(x)=log_(10)(x^3+1)`

`f'(x)=(1)/((x^3+1)(ln10))3x^2`

`f'(x)=(3x^2)/((x^3+1)(ln10))` 

The derivative is:  `f'(x)=(3x^2)/((x^3+1)(ln10))`

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