Answer:
1 ÷ [p(3p - 14)] = (dp/dx)
Explanation:
Given that,
Demand equation is as follows:
[tex]x=p^{3}-7p^{2}+600[/tex]
where,
x is the number of items sold
$p is the selling price of the items
Now, differentiating the above equation with respect to 'x',
[tex]1 = 3p^{2}\frac{dp}{dx} - 14p\frac{dp}{dx} + 0[/tex]
[tex]1=\frac{dp}{dx}p(3p-14)[/tex]
1 ÷ [p(3p - 14)] = (dp/dx)
Therefore, the rate of change of p with respect to x by differentiating implicitly is 1 ÷ [p(3p - 14)] = (dp/dx)
