for the given function find all critical numbers yx33x2105x9

Solution

To find the critical numbers for y=x^3-3x^2-105x+9 with doman (-infinity, infinity) The first derivative is f \' (x)= 3x^2-6x-105 Set the 1st derivative equal to 0 0= 3x^2-6x-105 3x(x-37)=0 x=0, x=37 these are your critical numbers and Both are in the domaina of function