# Is #f(x)=(2x^3-7x^2+3x+1)/(x-3)# increasing or decreasing at #x=2#?

##### 1 Answer

The function is increasing at

#### Explanation:

To find out if a function

**If the derivative #f'(x_0)# is greater than zero, then the function is increasing, if it is negative, then the function is decreasing.**

Here the derivative can be calculated using the quotient rule:

Now we calculate the value of

**increasing** at