Question

find the derivative without simplifying answer

Answer 1

\[f(x)=\frac{ 3x^2-2x+6 }{ 2x+3}\]

Answer 2

Now it's the quotient rule :)

Answer 3

okay then

Answer 4

Or for people like myself who never remember what to subtract from what in the quotient rule, you can rewrite the fraction as:\[f(x) = (3x^2-2x+6)(2x+3)^{-1}\]and use the chain rule (in which case the order never matters since it's a sum of products anyway)

Answer 5

i have the answer can you check it

Answer 6

The answer that i got was y=\[\frac{ (6x-2)(2x+3)-(3x^2-2x+6)(2x) }{ (2x+3)^2 }\]

Answer 7

is this right?

Answer 8

shouldn't the (2x) in the numberator just be 2

Answer 9

oh yes. sorry about that

Answer 10

Thank you

Answer 11

You're welcome.