Differentiation

Jul 2010
10
0
z² = x² + y²

dx/dt = 2
dy/dt = 3

Find dz/dt when x = 5 and y = 12

I tried solving this problem but got very confused. Help would be much appreciated!
 
Mar 2010
293
91
Beijing, China
2zdz/dt = 2xdx/dt + 2ydy/dt
 
Nov 2009
63
14
z² = x² + y²

dx/dt = 2
dy/dt = 3

Find dz/dt when x = 5 and y = 12

I tried solving this problem but got very confused. Help would be much appreciated!
\(\displaystyle z^2=x^2+y^2\)

\(\displaystyle \frac{d(z^2)}{dt}=\frac{d(x^2+y^2)}{dt}\)

\(\displaystyle \frac{d(z^2)}{dt}=\frac{d(x^2)}{dt}+\frac{d(y^2)}{dt}\)

can u continue from here....??

-- hope it'll help --
 
  • Like
Reactions: HallsofIvy