# How do you find the first and second derivatives of #((3x^2-x+1)/(x^2))# using the quotient rule?

##### 1 Answer

Aug 22, 2016

f'(x) =

f'' (x)=

#### Explanation:

u is a function of X, u' is the first derivative

v is a function of x, v' is the first derivative

The quotient rule gives

For the question u=

u'=

v=

v'=2

This the first derivative of our quotient is

And now tidy up to the answer

BUT why?

Write the function as 3-

And differentiate each term.

Mathematicians are lazy..do things the most efficient way!!!