SOLUTION: I need a little help with this also: Suppose u and v are both functions of time. Find {{{du/dt}}} if {{{u^3 + v^2 = uv}}}

Algebra ->  Finance -> SOLUTION: I need a little help with this also: Suppose u and v are both functions of time. Find {{{du/dt}}} if {{{u^3 + v^2 = uv}}}      Log On


   

Question 1009493: I need a little help with this also:
Suppose u and v are both functions of time. Find du%2Fdt if u%5E3+%2B+v%5E2+=+uv
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can differentiate implicitly,
3u%5E2%28du%2Fdt%29%2B2v%28dv%2Fdt%29=u%28dv%2Fdt%29%2Bv%28du%2Fdt%29
%28du%2Fdt%29%283u%5E2-v%29=%28dv%2Fdt%29%28u-2v%29
du%2Fdt=%28dv%2Fdt%29%28%28u-2v%29%2F%283u%5E2-v%29%29