Answer to Question #17244 in Calculus for hsd
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand.
Rate of change of demand =
x=-60 or x=50
but x>0 so x=50
x, p functions of time t
and we know that
dp/dt=2 at point x=50 p=20
we must find dx/dt
4xdx+x*dp+p*dx+100*p*dp=0 (: dt)
for dx/dt we have
rate of change of the demand=-41/2
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