Question

Find the Derivative...

Answer 1

where karina

Answer 2

in the attached file

Answer 3

so my system is not allowing the file it has virus

Answer 4

ok hold on

Answer 5

Hopefully it doesnt say that is has a virus..

Answer 6

do you know the product rule and the quotient rule?

Answer 7

yeah but i get lost in the process

Answer 8

oh ok,, in this question u need to use them both
first thing
u do is\[\frac{d}{dx}(\frac{x^3+3}{(4x+3)(3x+2)})\]u take the derivative of the nominator and multiply it by the denominator then u take the derivative of the denominator and multiply it by the numinator and find the difference between them,, then divide the whole answer by the denominator squared

\[\frac{d}{dx}=\frac{\frac{d}{dx}(x^3+3) \times (4x+3)(3x+2)- \frac{d}{dx}((4x+3)(3x+2)) \times (x^3+3)}{(4x+3)^2(3x+2)^2}\]

Answer 9

\[=\frac{3x^2(4x+3)(3x+2)-(4(3x+2)+3(4x+3)) )\times (x^2+3)}{(4x+3)^2(3x+2)^2}\]

Answer 10

notice that for the derivative of the denominator u need to use the product rule

Answer 11

ok

Answer 12

Oooh okay... gotcha :)

Answer 13

:)