Question

find derivative of the algebraic function

Answer 1

\[f(x)=x ^{5}(1-\frac{ 6 }{ x+5 })\]

Answer 2

first expand the bracket - find derivative of x^5
then use the quotient rule to differentiate the fraction

Answer 3

c\[\frac{ x ^{5} (x-1)}{ x+5 }\]
can I do this?

Answer 4

or if you prefer you can use the product / chain rules

Answer 5

how did you get that?

Answer 6

i think he took the lcm

Answer 7

\[1-\left( \frac{ 6 }{ x+5 } \right) = \frac{ x-1 }{ x+5 }\]

Answer 8

correct

Answer 9

so then \[\frac{ x ^{6}-x ^{5} }{ x+5 }\]
I would just use the quotient rule?

Answer 10

yes

Answer 11

the answer would be
\[f'(x)=\frac{ 5x ^{6}+26x ^{5}-25x ^{4} }{ (x+5)^{2}}\]?

Answer 12

correct

Answer 13

:)

Answer 14

yes i get that too

Answer 15

cool thanks!

Answer 16

I'm slowing up in my old age lol!

Answer 17

@amy0799 thats really nice

Answer 18

yes

Answer 19

looking at it again I would have used the product rule because the algebra is easier...

Answer 20

@welshfella its okay:)

Answer 21

lol - it has to be..