Question

Differentiate: (x^2 + 5x + 6) / (x+2)

Answer 1

differentiating will greatly simplify if you could simplify (x^2 + 5x + 6) / (x+2) first.
can you factor (x^2 + 5x + 6) ??

Answer 2

@jessie096 i assume you are trying.

Answer 3

Quotient rule. Derivative is equal to

((2x+5)(x+2)-(x^2+5x+6))/(x+2)^2

Answer 4

why go into complications when not required....

Answer 5

(u'v-v'u)/v^2

Answer 6

try to factor out first x^2 + 5x + 6..

Answer 7

did you try factoring the numerator ro see what happens ?

Answer 8

@jessie096 can you factor x^2+5x+6 ?

Answer 9

yes it's 2x+5

Answer 10

umm...you differentiated the numerator,
i asked you to 'factor' it.

Answer 11

(x-2)(x-3)

Answer 12

oh, you sure you didn't mess up with signs ?
can it be (x+2)(x+3) ?

Answer 13

oh yeah sorry

Answer 14

ok, no problem :)
so (x+2)(x+3) is numerator, anything getting cancelled ??

Answer 15

yep wow that was pretty easy....the (x+2) cancel out and you're left with (x+3) which is differentiated to 1 :D thanks so much

Answer 16

good! its \(\huge \color {green }\checkmark\)

Answer 17

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