SOLUTION: Find all of the critical points for f(x). f (x) = x^3 + 10x^2 + 25x - 50 One critical point is (-5/3, -1850/27). What is the remaining critical point?

Question 414181: Find all of the critical points for f(x).
f (x) = x^3 + 10x^2 + 25x - 50
One critical point is (-5/3, -1850/27).
What is the remaining critical point?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The derivative of f(x) is given by

(applying the power rule)

The critical points occur when , i.e.

= -5/3 and -5. f(5) = -125 + 250 + (-125) - 50 = -50, so (-5, -50) is the other critical point (sorry I accidentally replaced -5 into f'(x) instead of f(x) so I just revised my answer).
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