Question

use the quotient rule to differentiate f(x) = (2x + 5) /(2x).

Answer 1

\[((2)(2x)-(2x+5)(2))/(2x^2)\]

Answer 2

mistake there: ...../(2x)^2

Answer 3

can that be simplified any more?

Answer 4

((2)(2x)−(2x+5)(2))/(2x)^2
=(4x-4x-10)/(4x^2)
=-10/(4x^2)
=5/2x^2

Answer 5

5/(2x^2), the x^2 is on the bottom

Answer 6

ok thank you

Answer 7

Just a note: you dropped a minus sign going to the final answer:
\[ -\frac{5}{2x^2} \]