Problem:
Plot the tangent line to the graph of the function

f(x) = ln(x - 6)

at the point x = 8 together with the graph of this function.


Visualization:

Using Maple:

> f:=x->ln(x-6);

> a:=8;

a:=8

> m:=limit((f(a+h)-f(a))/h,h=0);

> g:=x->m*(x-a)+f(a);

> plot({f(x),g(x)},x=6..10);