anonymous
  • anonymous
how do i find the derivative of this using the chain rule please help somebody\[F(x)=x \sqrt{x ^{2}+1}\]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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bahrom7893
  • bahrom7893
Okay first throw the x into the sqrt.
bahrom7893
  • bahrom7893
F(x) = sqrt(x^4 + x^2)
bahrom7893
  • bahrom7893
Or F(x) = (x^4+x^2)^(1/2)

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bahrom7893
  • bahrom7893
Now take the derivative: F'(x) = (1/2) * (x^4 + x^2 )^(-1/2) * (4x^3 + 2x)
bahrom7893
  • bahrom7893
\[f'(x) = (4x^3+2x)/(2\sqrt(x^4+x^2))\]
anonymous
  • anonymous
can u please explain the part when u threw the x into the square root
bahrom7893
  • bahrom7893
okay x is the same as \[\sqrt{x^2}\]
anonymous
  • anonymous
yep
bahrom7893
  • bahrom7893
so to put it inside the sqrt, multiply everything inside by x^2
anonymous
  • anonymous
ok great thank u soo much appreciate the help :)
bahrom7893
  • bahrom7893
Can you click on Become a fan next to my name, please! Thanks =)
anonymous
  • anonymous
sure
anonymous
  • anonymous
can i ask u another question lol ?

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