# Simple derivative...

• March 23rd 2011, 11:39 AM
Bracketology
Simple derivative...
$\frac{e^t-1}{t}$

I know this is a simple derivative, and I'm in calc 3, but I can't seem to figure this one out....

Okay, well that's really small. It's e^t-1/t in case you can't see it.
• March 23rd 2011, 11:47 AM
Quacky
Have you tried using the quotient rule?

Let $f(t)=e^t-1$
Then, $f'(t)=e^t$

Let $g(t)=t$
$g'(t)=1$

The rule states that:

For any function composed of a quotient of two other functions, here denoted by $\displaystyle\frac{f(t)}{g(t)}$, the derivative is: $\displaystyle\frac{f'(t)g(t)-g'(t)f(t)}{[g(t)]^2}$

...So do the substitution.

If you haven't covered the quotient rule, then reply and I'll try another approach (Wink)
• March 23rd 2011, 01:40 PM
Bracketology
Yea, I'm in calc 3....I was just having a brain fart. Thanks. >.<