Differentiation Question 147

Question: If $ pv=81 $ , then $ \frac{dp}{dv} $ is at v = 9 equal to

[MP PET 1999]

Options:

A) 1

B) -1

C) 2

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ pv=81\Rightarrow \frac{dp}{dv}=\frac{-81}{v^{2}}=\frac{-81}{81}=-1 $ .