Question

V(s,t)=sqrt(t)*e^-s
find the second partial derivative of s

Answer 1

i got sqrt(t)*(s)*(e^-s)
wrong

Answer 2

\[\huge V(s,t)=\sqrt t \cdot e^{-s}\]

\[\huge \frac{\partial V}{\partial s}=\sqrt t e^{-s}\frac{\partial}{\partial s}(-s)\]
Hmm you're pretty close to the right answer :)

Answer 3

for the first derivative i got
(sqrt(t))*(-s)*(e^-s)
is that wrong

Answer 4

Oh second derivative? woops, my bad.

Answer 5

Yes, what is the derivative of -s? should be -1 yes? ^^
Hope that clears things up.

Answer 6

so the first derivative should be
sqrt(t)*s*e^-s
?

Answer 7

\[\huge \frac{\partial V}{\partial s}=-\sqrt t \cdot e^{-s}\]

Answer 8

The only thing that changes, is a -1 coming down from the derivative of the exponent :D

Answer 9

so the second derivative should be
sqrt(t)*e^-s
?

Answer 10

So another negative came down? Yup sounds correct! :)