amy0799
  • amy0799
find derivative of the algebraic function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amy0799
  • amy0799
\[f(x)=x ^{5}(1-\frac{ 6 }{ x+5 })\]
welshfella
  • welshfella
first expand the bracket - find derivative of x^5 then use the quotient rule to differentiate the fraction
amy0799
  • amy0799
c\[\frac{ x ^{5} (x-1)}{ x+5 }\] can I do this?

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More answers

welshfella
  • welshfella
or if you prefer you can use the product / chain rules
welshfella
  • welshfella
how did you get that?
madhu.mukherjee.946
  • madhu.mukherjee.946
i think he took the lcm
amy0799
  • amy0799
\[1-\left( \frac{ 6 }{ x+5 } \right) = \frac{ x-1 }{ x+5 }\]
madhu.mukherjee.946
  • madhu.mukherjee.946
correct
amy0799
  • amy0799
so then \[\frac{ x ^{6}-x ^{5} }{ x+5 }\] I would just use the quotient rule?
welshfella
  • welshfella
yes
amy0799
  • amy0799
the answer would be \[f'(x)=\frac{ 5x ^{6}+26x ^{5}-25x ^{4} }{ (x+5)^{2}}\]?
madhu.mukherjee.946
  • madhu.mukherjee.946
correct
madhu.mukherjee.946
  • madhu.mukherjee.946
:)
welshfella
  • welshfella
yes i get that too
amy0799
  • amy0799
cool thanks!
welshfella
  • welshfella
I'm slowing up in my old age lol!
madhu.mukherjee.946
  • madhu.mukherjee.946
@amy0799 thats really nice
welshfella
  • welshfella
yes
welshfella
  • welshfella
looking at it again I would have used the product rule because the algebra is easier...
madhu.mukherjee.946
  • madhu.mukherjee.946
@welshfella its okay:)
welshfella
  • welshfella
lol - it has to be..

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