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jskrzy November 18th, 2012 11:34 AM

Differentiating e
 
I have been given the equation y=xe^3x

The answer is e^3x (1 + 3x)

How?

I thought maybe they are pulling down the 3x and and multiplying by 1, but why +1?

MarkFL November 18th, 2012 11:53 AM

Re: Differentiating e
 
We are given to differentiate:



Using the product and chain rules, we find:


jskrzy November 18th, 2012 11:58 AM

Re: Differentiating e
 
Oh I see. Thank you.

Another similar problem is e^(1+3t)^2

The answer is 6(1+3t)*e^(1+3t)^2

I just am not understanding how to get the 6(1+3t).

Thank you for the continued help.

MarkFL November 18th, 2012 12:08 PM

Re: Differentiating e
 
Using the chain rule, we find:




jskrzy November 18th, 2012 12:56 PM

Re: Differentiating e
 
Ah, I see that we must split it up many times.

Can you offer your help on this equation?

y=x^2 * lnx

and

t^2 + 2lnt

Thank you for helping. I am slowly understanding :)

HallsofIvy November 19th, 2012 09:05 AM

Re: Differentiating e
 
Quote:

Originally Posted by jskrzy
Ah, I see that we must split it up many times.

Can you offer your help on this equation?

y=x^2 * lnx

What, exactly, do you want to do with this? Differentiate? Then use the product rule. .
Do you know the derivatives of and ?

and

t^2 + 2lnt

Thank you for helping. I am slowly understanding :)[/quote]


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