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Derivative formulas

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Invalid...@gmail.com

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Jan 12, 2006, 1:30:16 PM1/12/06
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What is the derivative of 8^2x?

Maulana Gott

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Jan 12, 2006, 1:39:34 PM1/12/06
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<Invalid...@gmail.com> wrote in message
news:1137090616.5...@g44g2000cwa.googlegroups.com...

> What is the derivative of 8^2x?
>

Is that (8^2) * x ? (which is what you have written.)

EZ, => 8^2


OR do you mean

8^(2 * x) ? (which is not what you have written)


[Mr.] Lynn Kurtz

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Jan 12, 2006, 1:39:32 PM1/12/06
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On 12 Jan 2006 10:30:16 -0800, Invalid...@gmail.com wrote:

>What is the derivative of 8^2x?

What you wrote means (8^2)*x or 64x. Did you mean 8^(2x)? If you are
taking calculus you really should be using parentheses when needed.
Guessing at what you mean my hint is to look in your calculus book for
the derivative of a^x and remember to use the chain rule.

--Lynn

Stephen J. Herschkorn

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Jan 12, 2006, 1:46:33 PM1/12/06
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Invalid...@gmail.com wrote:

>What is the derivative of 8^2x?
>

8^(2 x) = e^[(ln 64) x]

--
Stephen J. Herschkorn sjher...@netscape.net
Math Tutor on the Internet and in Central New Jersey and Manhattan

Maulana Gott

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Jan 12, 2006, 1:48:28 PM1/12/06
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"Stephen J. Herschkorn" <sjher...@netscape.net> wrote in message
news:43C6A409...@netscape.net...

Wrong.

Robert Low

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Jan 12, 2006, 1:55:41 PM1/12/06
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Invalid...@gmail.com wrote:
> What is the derivative of 8^2x?

64.

Or perhaps you meant 8^(2x), in which
case rewrite this as exp(somnething) and
differentiate that.

Stephen J. Herschkorn

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Jan 12, 2006, 2:00:33 PM1/12/06
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Maulana Gott wrote:

>"Stephen J. Herschkorn" <sjher...@netscape.net> wrote in message
>news:43C6A409...@netscape.net...
>
>
>>Invalid...@gmail.com wrote:
>>
>>
>>
>>>What is the derivative of 8^2x?
>>>
>>>
>>>
>>8^(2 x) = e^[(ln 64) x]
>>

>Wrong.
>

Huh? What is wrong in that equality? (Note that, intentionally, I did
not answer the original question.)

Maulana Gott

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Jan 12, 2006, 2:09:24 PM1/12/06
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"Stephen J. Herschkorn" <sjher...@netscape.net> wrote in message
news:43C6A751...@netscape.net...

You are right, my dyslexia


Dave L. Renfro

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Jan 12, 2006, 2:10:05 PM1/12/06
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Invalid...@gmail.com wrote:

>>> What is the derivative of 8^2x?

Stephen J. Herschkorn wrote:

>> 8^(2 x) = e^[(ln 64) x]

Maulana Gott wrote:

> Wrong.

How so? Stephen J. Herschkorn's function isn't
equal to (8^2)x and it's not the derivative of
either (8^2)x nor the derivative of 8^(2x), but
the equation he wrote is true unless I'm missing
something in front of my nose (like I did a couple
of days ago). (If Robert Israel is reading, I did
learn that in l'Hopital's rule the assumption that
g(x) is not zero in a neighborhood of x=a follows
from the other assumptions, but I don't have time
now to post the details.)

Dave L. Renfro

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