anonymous
  • anonymous
Find the derivative of the function using the product rule (x)(sqrt(x^2+5))
Mathematics
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anonymous
  • anonymous
Find the derivative of the function using the product rule (x)(sqrt(x^2+5))
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
u'v+uv'
anonymous
  • anonymous
you'll need the chain rule for the sqrt(x^2+5) term as well
anonymous
  • anonymous
\[\sqrt{{x ^2}+5}+x ^{2}/\sqrt{x ^{2}+5}\]

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anonymous
  • anonymous
yep that looks right
anonymous
  • anonymous
i got that but can i simplify it anymore?
anonymous
  • anonymous
yeah you can multiply top and bottom by sqrt(x^2+5)
anonymous
  • anonymous
the first term I mean
anonymous
  • anonymous
(2x^2+5)/(sqrt(x^2+5))
anonymous
  • anonymous
i mean i have to substitute my x in for the equation of the tangent line is it a good idea to just leave that like that?
anonymous
  • anonymous
less computation if you simplify it a little further
anonymous
  • anonymous
\[x ^{2}/\sqrt{x ^{2}+5}\]so i added it and got
anonymous
  • anonymous
sorry 2x^2 +5 for numerator
anonymous
  • anonymous
sorry 2x^2 +5 for numerator

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