Second derivative of a surge function

[Finnm]

I would appreciate some help with finding the second derivative of this surge function and proving its points of inflection
F(t)= At^p x e^-bt b and p are both positive constants
I have found the first derivative and t value of the turning point:
F'(t)= At^p-1 x e^-bt(p-bt) turning point occurs at t=p/b

I need to find F"(t) and show that the points of inflection occur at p-rootp/b and p+rootp/b
Please help! thanks

 

[Deleted member 4993]

I would appreciate some help with finding the second derivative of this surge function and proving its points of inflection
F(t)= At^p x e^-bt b and p are both positive constants
I have found the first derivative and t value of the turning point:
F'(t)= At^p-1 x e^-bt(p-bt) turning point occurs at t=p/b

I need to find F"(t) and show that the points of inflection occur at p-rootp/b and p+rootp/b
Please help! thanks

Since you have calculated F'(t) - what is stopping you from calculating F"(t)?

Just differentiate F'(t) again!

 

[Steven G]

Can you please write you functions correctly. Is it really At^p- 1 or is it really At^p-1?

Are those x's the variable x of the multiplication symbol or are some variables and some multiplication symbols.

You wrote e^-bt. Is that e^-bt or is it e^-bt

You wrote e^-bt b, what does that b at the end mean. Can you at least put a comma, please.

I think that your derivative is wrong but I must be honest that I couldn't follow what you did.