On what interval is the function $ln((4x^2)+9)$ differentiable?

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Answer 1 · 2015-01-29T15:21:15

In all the Real Field.

A function can be differentiable in its Domain.

The Domain of this function can be found solving this inequality:

$4x^2+9>0$

The solution is $AAx$ , so it is always differentiable.

On what interval is the function ln((4x^2)+9)ln((4x^2)+9) differentiable?