SOLUTION: Let xy = 20. Find dy/dt given that x = 10 and dx/dt = −2
Algebra.Com
Question 1058754: Let xy = 20. Find dy/dt given that x = 10 and dx/dt = −2
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Let xy = 20. Find dy/dt given that x = 10 and dx/dt = −2
-----
y = 20/x
dy/dt = -(20/x^2)dx/dt
=======
dy/dt = (-20/100)*(-2) = 2/5
RELATED QUESTIONS
Assume that x and y are differentiable functions of t and
y^2 = 2xy + 24. Find dx/dt... (answered by Alan3354)
find dy/dx
x=9/t
y=t-t^2
I got as far as: dx/dt=-9t^-2 and dy/dt=1-2t... (answered by josgarithmetic)
Given the function: 4x^2+y^2=4. Find dy/dt if you know: dx/dt=-1, when x=1/2,... (answered by Edwin McCravy)
Suppose y = sqrt 2x + 1 where x and y are functions of t.
a) If dx/dt = 3,find dy/dt... (answered by rothauserc)
if dy/dx = sec(x) , dt/dx = tan(x) - 3, then ,(d ^2 y)/(dt ^2) =... when(x =... (answered by mccravyedwin)
find dy/dx
x=t^2
y=square root of t^3
dx/dt= 2t
dy/dt=square root of 3t^2... (answered by josgarithmetic)
Find dy/dx
x=7sint
y=14cost
dx/dt:7cos
dy/dt-14sin or 14-sin (I'm not sure)... (answered by rothauserc)
Find the value of {{{(dy)/(dx)}}} when x= -1 and y= 1, given that {{{3x^2+4xy-xy^3 =... (answered by ikleyn)
the sides of a rectangle increase in such a way that
dz/dt = 1.9
and
dx/dt = 4dy/dt
(answered by robertb)