Question

differentiate f(x)=e^x/9x^2

Answer 1

use the improved version of the quotient rule:
(u/(v^n))'=(vu'-nuv')/(v^n+1)

Answer 2

f'(x) =[e^x (9x^2) -18x(e^x)]/(81x^4)

Answer 3

should be .../(v^(n+1))

Answer 4

we may simlify then.

Answer 5

= e^x(x-2)/9x^3

Answer 6

improved version of the quotient rule: (u/(v^n))'=(vu'-nuv')/(v^n+1) is the simplification built in in the formula