Calculus - 10

Find minimum value of function $f(x) = x^3-9x^2+24x$

(A) 20

(B) 16

(C) 22

(D) 14

Edit: $f(x) = 8x^3-9x^2+24x$

Please note that initial question has 8 as co efficient which is wrong. Now the question is updated.

We will give marks for all for now.

edited May 31

Question is wrong

answered May 31 by (640 points)
+1 vote

Yes question must be wrong because we are getting imaginary roots::

$x=3/2\pm\sqrt{3}i/2$

answered May 31 by (10,800 points)
+1 vote
Something might wrong here because root are imaginary
answered May 31 by (17,270 points)
+1 vote
The minimum value doesn't exist. if you draw the graph for it you will see it goes to -ve infinity
answered May 31 by (1,680 points)