Math problem. ATOT Challenge 2 + GEOG BONUS

jspeicher

Golden Member
Apr 9, 2003
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Find the derivative of the the following function:

f(x) = x^pi^2 + (pi^2)^x


BONUS:
East of Algeria, West of Egypt,....what is it?


leader: ViRGE (1pt)
 

jspeicher

Golden Member
Apr 9, 2003
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how is this homework? I posted a trig problem and now i'm posting a calc problem....
 

Kyteland

Diamond Member
Dec 30, 2002
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Originally posted by: Sphexi
ATOT Challenge? Don't you mean ATOT Do My Homework?
It's funny because that chapter is right after the limits chapter in every calc book published to date, and there's a bunch of people who just finished doing limits.

If you need help with your homework just ask. There's lots of people here who will help you learn, but very few who will just do it for you.
 

yukichigai

Diamond Member
Apr 23, 2003
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I'd give you the answer but all I'd be doing would be spitting out the text in the Giant Book o' Derivatives(TM). Rather useful for Diff Eq, lemme tell ya.
 

Rubycon

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Aug 10, 2005
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See this is PRECISELY WHY they frown at folks feeding the pigeons at the park. Now look what you've done this place is littered with variable poop!
 

DrPizza

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Wow, I actually have that problem in my lesson plans for next week's calculus class.
(I'm in NY; we start school about a week or two later than everyone else)
 

DrPizza

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Well, since you don't have an answer yet, I'll give you the two rules, directly from your text:
The derivative of x^constant is constant * x^(constant -1)

The second part, I like to do the hard way.
Let y = a^x
lny = ln(a^x)
lny = x(lna) = ln(a) * x
1/y dy/dx = ln(a)
solve for dy/dx
replace the y with a^x
done.
There... I derived the second formula you're supposed to memorize to take the derivative of a^x, a is a constant.

 

DrPizza

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Originally posted by: jspeicher
Find the derivative of the the following function:

f(x) = x^pi^2 + (pi^2)^x


BONUS:
East of Algeria, West of Egypt,....what is it?


leader: ViRGE (1pt)

Wait a second! You *didn't say to simplify the answer!!!!*

f`(x) = lim (as h ->0) ((x + h)^pi^2 + (pi^2)^(x + h) - (x^pi^2 + (pi^2)^x))/h
There. That's the derivative of x^pi^2 + (pi^2)^x. Just not simplified.
 

Kyteland

Diamond Member
Dec 30, 2002
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Originally posted by: DrPizza
There... I derived the second formula you're supposed to memorize to take the derivative of a^x, a is a constant.
And here I just looked it up from the back of the book. :eek:
 

YOyoYOhowsDAjello

Moderator<br>A/V & Home Theater<br>Elite member
Aug 6, 2001
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Originally posted by: jspeicher

BONUS:
East of Algeria, West of Egypt,....what is it?

Not looking at a map, but chad?

EDIT: wait... sudan?

awww crap

EDIT #2: :( nope