We have the next function
![f(x)=ln(x+5)\text{ }](https://img.qammunity.org/2023/formulas/mathematics/high-school/jyv0fz96n1vz5qp0d3eoev4dh6e5fhq068.png)
First, we need to calculate the derivate of the function
![f^(\prime)(x)=(1)/(x+5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/tfrupn07pi3zvz10pkxdnudlj5lx0cm7n4.png)
the critical points are when the derivate is 0 or can be calculated
in this case, x=-5 is a critical point and it doesn't belong
to the interval given therefore the number of critical points is 0