We have the next function
[tex]f(x)=ln(x+5)\text{ }[/tex]
First, we need to calculate the derivate of the function
[tex]f^{\prime}(x)=\frac{1}{x+5}[/tex]
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
