Find Critical Number For Rational Exponent Function

Anil Kumar
Anil Kumar
1.7 هزار بار بازدید - 10 سال پیش - @mathematicstutor Test
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Test Increasing Decreasing Interval: Test Series Increasing Decreasing Int...
A unique series developed for the students preparing for GCSE Level A and equivalent examination globally. Anil Kumar has shared his knowledge with students who are preparing for GCSE Level A so that they can understand and perform much better.
Absolute Maximum and Absolute minimum value for any function continuous in closed interval [a, b] will always exist at the critical numbers or at the end points.
Check the value of the function at the critical numbers and at the end-points to find the result.
Steps to find increasing and decreasing interval of any function, f(x), are:
find the first derivative, f'(x)
find critical numbers, f'(x) = 0 or does not exist (DNE)
INTERVAL TABLE TEST:
These critical numbers divide the domain in intervals. Test each interval with a test point.
RESULT:
If f'(x) is greater than 0 then f(x) is increasing.
If f'(x) is less than 0 then f(x) is decreasing.
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Absolute Maximum and Absolute minimum value for any function continuous in closed interval [a, b] will always exist at the critical numbers or at the end points.
Check the value of the function at the critical numbers and at the end-points to find the result.
Increasing Decreasing Interval Details: Test Series Increasing Decreasing Int...
Steps to find increasing and decreasing interval of any function, f(x), are:
find the first derivative, f'(x)
find critical numbers, f'(x) = 0 or does not exist (DNE)
INTERVAL TABLE TEST:
These critical numbers divide the domain in intervals. Test each interval with a test point.
RESULT:
If f'(x) is greater than 0 then f(x) is increasing.
If f'(x) is less than 0 then f(x) is decreasing.
10 سال پیش در تاریخ 1393/12/15 منتشر شده است.
1,792 بـار بازدید شده
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