Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Option C

Explanation:

Our input is function f( x ), but to find the derivative of this function, you must convert this f ( x ) into a "
`d / dx[ f( x )] / f'x` " format. In this case it can be done multiplying the numerator by 7, and squaring the denominator. We would have to separate this into two fractions, as the following -

`(4)/(7x-18)-(28x)/(\left(7x-18\right)^2)`

Now all that has to be done is to simplify this expression! The least common multiple of 7x - 18, ( 7x - 18 )^2 is ( 7x - 18 )^2. That, respectively makes it our denominator. Based on the LCM we would receive the following -

`(4\left(7x-18\right))/(\left(7x-18\right)^2)-(28x)/(\left(7x-18\right)^2)`

Now the denominators are equal, so we can combine the two fractions and simplify -

`(4\left(7x-18\right)-28x)/(\left(7x-18\right)^2) - ( Simplify ),\\\\-(72)/(\left(7x-18\right)^2)`

Hence, the solution is option c. Hope that helps!