Any problem with ln(x) in it you’d choose ln(x) in my program menu
When differentiating ln(x) and when using the product rule which is necessary, where the function might be something like 5*ln(6x). You have two functions –—— 5 and ln(6*x). Two functions mean f(x) and g(x).
In my programs I used in this case 5 for f(x) and ln(6*x) for g(x)
And you have the formula for product rule, h ‘ (x) = f ‘(x) * g(x) + f(x) * g ‘ (x)
Don’t worry – I do all of this for you – step by step – in my programs, however I want to mention here of again what professors don’t tell you or make you aware of, and that is
If ln(x) has a + sign or – sign in it, it makes a difference which one you use for f(x) or g(x) so for instance in a function like 5*ln(6x+1), you have to use instead of 5 for f(x) (like above) — ln(6x+1) for f(x)
Now who told you or me about that little detail in our calculus life?
Incidentally any derivative for ln(x) has a special formula which is:
u ‘ / u
u is what’s inside of the parenthesis.
Have fun with my programs and pass calculus, never to use it again !!!
Tom