find derivative of the algebraic function

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find derivative of the algebraic function

Mathematics
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\[f(x)=x ^{5}(1-\frac{ 6 }{ x+5 })\]
first expand the bracket - find derivative of x^5 then use the quotient rule to differentiate the fraction
c\[\frac{ x ^{5} (x-1)}{ x+5 }\] can I do this?

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Other answers:

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

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