# How do you find the value of k for which #f(x)=x^3-5x^2+3x+k# has 11 as its relative minimum?

##### 1 Answer

Jan 12, 2017

#### Explanation:

First we find where

The critical points are roots of the equation:

As

#f'(x) >0 # for#x in (-oo,1/3) uu (3,+oo)#

#f'(x) <0 # for#x in (1/3,3) #

which means that

Now we can find