Question

For the demand equation p=30/(q+6)³, find the rate of change of q with respect to p.
d q/d p=

Answer 1

To find the rate of change dq/dp for the demand equation p=30/(q+6)^3, we differentiate the equation with respect to p to get dq/dp = -90 / (q+6)^4.

Step-by-step explanation:

To find the rate of change dq/dp for the demand equation p=30/(q+6)^3, we need to differentiate the equation with respect to p. By using the quotient rule and simplifying the expression, we can obtain the derivative:

dq/dp = -90(q+6)^2 / (q+6)^6 = -90 / (q+6)^4

So, the rate of change of q with respect to p is -90 / (q+6)^4.