MTALHAHASSAN2
  • MTALHAHASSAN2
Differentiate each function. Do not expand an expression before differentiating. a) y=sqrt x^2-3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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frank0520
  • frank0520
use the chain rule \[\frac{ d }{ dx }(\sqrt{x^2 -3})\]
MTALHAHASSAN2
  • MTALHAHASSAN2
ok so then it be like =(x-3^1/2) if we finish the sqrt root
MTALHAHASSAN2
  • MTALHAHASSAN2
@frank0520 are you there??

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frank0520
  • frank0520
No, that is not correct
MTALHAHASSAN2
  • MTALHAHASSAN2
why not
MTALHAHASSAN2
  • MTALHAHASSAN2
x^2/2 -3^1/2
frank0520
  • frank0520
\[\frac{ d }{ dx }(\sqrt{x^2 -3})\] \[\frac{ d }{ dx }(x^2 -3)^{1/2}\] \[\frac{ 1 }{ 2 }(x^2 -3)^{-1/2} \frac{ d }{ dx }(x^2 -3)\] \[\frac{ 1 }{ 2 }(x^2 -3)^{-1/2} (2x)\] \[x(x^2 -3)^{-1/2}\] \[\frac{ x }{ \sqrt{x^2 -3} }\]
MTALHAHASSAN2
  • MTALHAHASSAN2
can someone help me with it: f(x)=1/(x^2-16)^5
frank0520
  • frank0520
Try it yourself, this is the same as the first problem. Use the chain rule.
MTALHAHASSAN2
  • MTALHAHASSAN2
ok let me try then
MTALHAHASSAN2
  • MTALHAHASSAN2
i get =1/10(x^2-16)^4

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