Find \frac{d}{d x}(\sqrt{x}-\frac{5}\sqrt{x})

Correct Answer is : None of these

{1}/{2 \sqrt{x}+ \frac{3}{2} x^{-3 / 2}

NIMCET 2011 Question Paper with solutions

Question : 43 of 120

Marks: +1, -0

Find

\;{d}/{d x}(√{x}-\;{5}/{√{x}})

Solution:

{d}/{d x}(√{x}-\;{5}/{√{x}})= {x^{-1 / 2}}/{2}+ {1}/{2} 5 x^{-3 / 2}= {1}/{2 √{x}}+ {5}/{2} x^{-3 / 2}

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