Suppose the quantity demanded monthly of a certain commodity is related to its unit price by the equation
2x^2−1xp+50p^2=21200.
where x is the quantity demanded and where the unit price, p, is measured in dollars.
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, at what rate is the monthly demand changing?

Question

Suppose the quantity demanded monthly of a certain commodity is related to its unit price by the equation
2x^2−1xp+50p^2=21200.
where x is the quantity demanded and where the unit price, p, is measured in dollars. 
If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, at what rate is the monthly demand changing?

mathmale · Answer

Is this problem from a course in elementary calculus?  If so, your goal is to find the rate of change of the monthly demand with respect time time (in months).  Does that ring a bell with you?

mathmale · Answer

Hint:  Try implicit differentiation.

anonymous · Answer

it's from calculus1 and i tried implicit differentiation but i don't really know what i need to do after... by the way thank you for your help.