How can I find the maximum of a function that is of the form $$f(x)= 4\dfrac {\log(x-3)}{x-4}+6\dfrac {\log(8–0.5x)}{14-x}$$
I understand that I have to take first derivative and equate it to zero, to find critical points, and then calculate second derivative. But the derivative is too complex to solve.
Does not exist because $$\lim_{x\rightarrow3^+}f(x)=+\infty.$$