If pv = 81, then $\frac{dp}{dv}$ at v =

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

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

Options:

-1

None of these

Correct Answer:

-1

Explanation:

$p v=81 \Rightarrow p=\frac{81}{v} \Rightarrow \frac{d p}{d v}=-\frac{81}{v^2}$

⇒ For v = 9, $\frac{d p}{d v}=-\frac{81}{81}=-1$

Hence (2) is correct answer.