Answer:
Option C
Step-by-step explanation:
Our input is function f( x ), but to find the derivative of this function, you must convert this f ( x ) into a " [tex]d / dx[ f( x )] / f'x[/tex] " 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 -
[tex]\frac{4}{7x-18}-\frac{28x}{\left(7x-18\right)^2}[/tex]
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 -
[tex]\frac{4\left(7x-18\right)}{\left(7x-18\right)^2}-\frac{28x}{\left(7x-18\right)^2}[/tex]
Now the denominators are equal, so we can combine the two fractions and simplify -
[tex]\frac{4\left(7x-18\right)-28x}{\left(7x-18\right)^2} - ( Simplify ),\\\\-\frac{72}{\left(7x-18\right)^2}[/tex]
Hence, the solution is option c. Hope that helps!
