Asked by lana
find the max point on the graph f(x) = -1/3x^3 + 3x^2 - 5x
Answers
Answered by
drwls
The maximum is where the first derivative is zero, provided the second derivative is negative there.
Solve the equation
f'(x) = -x^2 +6x -5 = 0
-(x-5)(x-1) = 0
x = 5 and x = 1 are either maxima or minima. Use the second derivative test to see which is which.
Solve the equation
f'(x) = -x^2 +6x -5 = 0
-(x-5)(x-1) = 0
x = 5 and x = 1 are either maxima or minima. Use the second derivative test to see which is which.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.