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

Expert Answers
mathace eNotes educator| Certified Educator

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))`