anonymous
  • anonymous
What is the derivative of square root 2x
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what's another way of writing square root 2x? *hint...think of exponents*
anonymous
  • anonymous
2x^(1/2)
anonymous
  • anonymous
Right....now, use the power rule to find the derivative...

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anonymous
  • anonymous
do you get 1/square root (x)
anonymous
  • anonymous
|dw:1368922493050:dw|
anonymous
  • anonymous
yeah i got that and then do you get my answer
anonymous
  • anonymous
after simplifying?
anonymous
  • anonymous
Is the question (i) \(\int \sqrt{2x} dx\) or (ii) \(\int 2\sqrt{x}dx\) ?
anonymous
  • anonymous
|dw:1369180489303:dw|
anonymous
  • anonymous
\[\frac{ d }{dx }\sqrt{2x}=\sqrt{2}\frac{ d }{dx }\sqrt{x}=\sqrt{2}\frac{ d }{dx }x ^{\frac{ 1 }{2 }}\] \[=\sqrt{2}\frac{ 1 }{ 2 }x ^{^{\frac{ 1 }{ 2 }-1}}\] \[=\frac{ 1 }{\sqrt{2} }x ^{\frac{ -1 }{2 }}\]

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