00:01
Given function is fx equals to 1 divide by 3 multiplied by x cubed minus x squared minus 3x plus 4.
00:10
Now we have to find the relative minima and maxima.
00:14
So we have to differentiate the function.
00:16
So we can write f -dash -x equals to d by dx of 1 divide by 3 multiplied by x cubed minus x squared minus 3x plus 4.
00:30
After differentiating, we get x squared minus 2x minus 3.
00:35
Now, to get the critical points, we have to put f -dash -x equals to 0, which implies x squared minus 2x minus 3 equals to 0.
00:47
Now, after solving, we get x equals to minus 1 and 3.
00:52
These are our critical points.
00:54
Now, it divides our number line between the interval minus infinity, minus 1, 3 and infinity...
