SOLUTION: An equation is given: r^2 + 2st^(1/2) = rt. A) Find ds/dr B) Find dr/dt C) Find dt/ds D) Find dr/ds

SOLUTION: An equation is given: r^2 + 2st^(1/2) = rt. A) Find ds/dr B) Find dr/dt C) Find dt/ds D) Find dr/ds

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Question 1027708: An equation is given: r^2 + 2st^(1/2) = rt.
A) Find ds/dr
B) Find dr/dt
C) Find dt/ds
D) Find dr/ds
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
is an implicit function of three variables.
(A) The partial derivative ds/dr is
==> .
(B) The partial derivative dr/dt is
==>

I leave parts (C) and (D) for you to practice on.
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