Question

Differentiate. Answer with all positive exponents. 1) h(r)= (r^2+4r-6)/(9r+8)

Answer 1

Do you know quotient rule?

Answer 2

Isnt that rewriting the equation like this (r^2+4r-6)x(9r+8)+(r^2+4r-6)x(9r+8)?

Answer 3

But taking the derivative once on each side right?

Answer 4

\[\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{f'(x)g(x)-f(x)g'(x)}{g(x)^2}\]

Answer 5

Ohh wow thanks. That's helpful to finally see something like that.

Answer 6

(r^2+4r-6)'x(9r+8)-(r^2+4r-6)x(9r+8)' /(9r+8)^2 is that right?

Answer 7

Then you just need to do the differentiation and simplify (optional).

Answer 8

Could I work it out and have you try it?

Answer 9

k

Answer 10

9r^2+16r+86/72r^2+126r+64?

Answer 11

\[\huge\frac{ (2r+4)(9r+8)-9(r^2+4r-6) }{ (9r+8)^2 }\]

Answer 12

The numerator is correct, but there is some calculation mistakes in the denominator.

Answer 13

Thanks deena123

Answer 14

\[(9r^2+8)=81r^2+144r+64\]

Answer 15

but the denominator doesn't need to be multiplied right agostino?

Answer 16

Typo lol

Answer 17

lol

Answer 18

\[(9r+8)\]

Answer 19

could i leave it as (9r+8)^2?

Answer 20

welcome :)

Answer 21

yes

Answer 22

Yeah, you can.

Answer 23

Sometimes it is better to leave it there as you may cross it out with the numerator.

Answer 24

Alright, thanks for the help you guys, I'm new to this site so is there a way I can honor you guys?

Answer 25

Participate more and be active. :P