Let U(x) and V(x) are differentiable functions such that U(x) V(x) =7 . If U ^ ( x ) V ^…

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

Let U(x) and V(x) are differentiable functions such that \(\frac{U(x)}{V(x)}=7\). If \(\frac{\mathrm{U}^{\prime}(\mathrm{x})}{\mathrm{V}^{\prime}(\mathrm{x})}=\mathrm{p}\)and\[\left(\frac{\mathrm{V}(\mathrm{x})}{\mathrm{U}(\mathrm{x})}\right)^{\prime}=\mathrm{q}\], then \(\frac{p+q}{p-q}\) has the value equal to
  1. 1
  2. 0
  3. 7
  4. –7

Answer

(A) 1

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