Question

Find DxY using the rules for finding derivatives: y=(3x^2-5x+7)/(5x+9)

Answer 1

Use the quotient rule.

Answer 2

f(x) = 3x^2-5x+7
f'(x) = ?
g(x) = 5x + 9
g'(x) =?
From there just input those values into the quotient rule:
\[y' = \frac{ f'(x)g(x) - f(x)g'(x) }{(g(x))^2}\]