HOW TO FIND LOCAL MAXIMUM AND MINIMUM OF A FUNCTIOn?

Question

please tell me,how to find
1.local max
2.local min
3.absolute max
4.ab min

Answer 1

f(x) your function.
f'(x) its first derivative

1) solve f'(x) = 0
2) make a 'sign graph'

f' Positive --- 0 ----- Negative
indicates a local maximum

f' Negative --- 0 ----- Positive
indicates a local minimum

If the function is restricted to a closed interval you can also have max and min at the border points.

clear ?

Answer 2

Finding Local Max And Min

Answer 3

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RE:
HOW TO FIND LOCAL MAXIMUM AND MINIMUM OF A FUNCTIOn?
please tell me,how to find
1.local max
2.local min
3.absolute max
4.ab min

Answer 4

find where the derivative equals zero; that will be a local max or min.

find the second derivative at the local max or min, if it is positive, the point is a min;
if it is negative, the point is a max