Related rates problem..

When the price of a certain commodity is $p$ dollars per unit, the manufacturer is willing to supply x thousand units, where $x^2−2x\sqrt{p}-p^2=31$. How fast is the supply changing when the price is $9 per unit and is increasing at the rate of 20 cents per week?

Question

Related rates problem..

When the price of a certain commodity is $p$ dollars per unit, the manufacturer is willing to supply x thousand units, where $x^2−2x\sqrt{p}-p^2=31$. How fast is the supply changing when the price is $9 per unit and is increasing at the rate of 20 cents per week?

luigi0210 · Answer

I differentiated the function already. 
the rate being $\frac{dp}{dt}=0.2$
Need $\frac{dx}{dt}$ when $p=9$

What about x..?

anonymous · Answer

substitute 9 in for p and solve for x

anonymous · Answer

now you have everything to solve for dx/dt

luigi0210 · Answer

Thank you!

luigi0210 · Answer

Into the original right/