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# AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

## Wednesday, November 09, 2005

### ok, my turn

i never knew i was the scribe until I saw everyone's head move 90 degrees to the right, eyes quite astonished, looking straight at me, wishing to inform
" you are Ara... yes you are. "
And for all the days that i usually checked the blog... ( s i g h ) .... hey, i just missed it by a blink of an eye! ( l a u g h s )

anyway...
Today was a continuation of getting the derivative of a function particulary the EXPONENTIAL FUNCTION.

A certain was given for us to find its derivative. To find its derivative we can use the definition of the derivative:

Well, we did not really do it this way, but it's fundamentally the same. We did it in another perspective, which is using the calculator, and i can't put all those things here so i did it this way.

So basically, the rule to get the derivative of an exponential function is:

The derivative is simply the original function times the derivative of exponent times the natural log of the base.

• At 10:28 PM CST,  Mr. Kuropatwa said…

A great scribe Ara! I really liked the way you found the derivative in yet another way than the one we did in class -- it helps to have lots of perspectives on the same concept.

You ended with:
The derivative is simply the original function times the derivative of exponent times the natural log of the base.