last derivative question?

Question

can i please get the steps to finding this derivative?

f(t)= (4t-(9t^2))/(6t-5)

Answer 1

Use the formula (u/v)' = (u'v - uv') / v²

with u - the numerator and

v = denominator of f(t).   ⇐QUOTIENT RULE

 

u' = 4-18t & v' = 6.

 

Finally, use Algebra, carefully, to simplify