anonymous
  • anonymous
can someone help me please? Find the derivative of the function s(x) = square root x + 3/square root x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\sqrt{x} + 3/\sqrt{x}\]
anonymous
  • anonymous
you should memorize the derivative of \(\sqrt{x}\) because it is a very common function the derivative of \(\sqrt{x}\) is \(\frac{1}{2\sqrt{x}}\)
anonymous
  • anonymous
as for \(\frac{3}{\sqrt{x}}\) you can rewrite it as \(3x^{-\frac{1}{2}}\) and use the power rule

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anonymous
  • anonymous
\[1/2\sqrt{x} - 3x^-1/2\]
anonymous
  • anonymous
is that correct ?^^^
anonymous
  • anonymous
no
anonymous
  • anonymous
the first part is right, you still have to take the derivative of \[3x^{-\frac{1}{2}}\] using the power rule
anonymous
  • anonymous
i just rewrote it in exponential form, you still have to find the derivative
anonymous
  • anonymous
so -3/2x-1?
anonymous
  • anonymous
\[\frac{ -3 }{ 2 }x^1\]
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
@satellite73 \[\frac{ 1 }{ 2 }\sqrt{x}+ -3/2x ^{-1}\]
anonymous
  • anonymous
is that correct?

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