chrislb22
can someone help me please?
Find the derivative of the function
s(x) = square root x + 3/square root x



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chrislb22
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\[\sqrt{x} + 3/\sqrt{x}\]

anonymous
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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
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as for \(\frac{3}{\sqrt{x}}\) you can rewrite it as \(3x^{\frac{1}{2}}\) and use the power rule

chrislb22
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\[1/2\sqrt{x}  3x^1/2\]

chrislb22
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is that correct ?^^^

anonymous
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no

anonymous
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the first part is right, you still have to take the derivative of
\[3x^{\frac{1}{2}}\] using the power rule

anonymous
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i just rewrote it in exponential form, you still have to find the derivative

chrislb22
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so 3/2x1?

chrislb22
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\[\frac{ 3 }{ 2 }x^1\]

chrislb22
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@satellite73

chrislb22
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@satellite73 \[\frac{ 1 }{ 2 }\sqrt{x}+ 3/2x ^{1}\]

chrislb22
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is that correct?