Question

Assume that w=f(s^3+t^2) and f'(x)=e^x. Find partial w/partial t and partial w/partial s

Answer 1

since f'(x) = e^x ; f(x) = e^x as well

Answer 2

w = e^(s^3+t^2)

Answer 3

how did that happen?

Answer 4

w=f(x)

w' = f'(x) x'

you know what f' is, so integrate it to determine f

Answer 5

and that will give me the partial derivative i seek

Answer 6

that will give you the explicit form of w in terms of s and t

plug is s^2 + t^2 for x ; then derive

Answer 7

okay let me look over this for a bit, thanks

Answer 8

w = f(s^3+t^2) = e^(s^3+t^2)