differentiation help please

**Amazed** · March 4th 2009, 10:35 AM

Hi,

Can anyone give me the second derivative for the equation below:

$\frac{p^r}{(1-(1-p)e^t)^r} $

I have done it but not sure if the answer is correct.

Thanks.

**HallsofIvy** · March 4th 2009, 11:26 AM

Show us what you did and we can say whether it is correct or not.

**lanzailan** · March 4th 2009, 11:29 AM

Originally Posted by Amazed

Hi,

Can anyone give me the second derivative for the equation below:

$\frac{p^r}{(1-(1-p)e^t)^r} $

I have done it but not sure if the answer is correct.

Thanks.

i got something like this.. not sure whether it is correct or wrong

$\frac{r-rp^r(-e^t+pe^t)}{(1-(1-p)e^t)^{r+1}} $

**Amazed** · March 4th 2009, 11:36 AM

i got :

$\frac{r(p^r)(-r-1)((1-p)e^t)^2}{[1-(1-p)e^t]^(r+2)} $

the r+2 is the power to which the denominator is raised to.. im just having trouble in typing it in the equation.

thanks

**Amazed** · March 5th 2009, 01:40 AM

Mistyped in my last post.

And that's what i get for the second derivative:

$\frac{-r(p^r)(-r-1)((1-p)e^t)^2}{[1-(1-p)e^t]^{r+2}} $

Is it correct please?

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