#globalmathinstitute #anilkumarmath [ Ссылка ] #AnilKumar #GlobalMathInstitute #GCSE #SAT One-on-One Sessions supported with special Videos with Anil Kumar.
Test Increasing Decreasing Interval: [ Ссылка ]
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.
#Increasing_Decreasing_Interval #IBSL_Calculus #IBSL_exponential_derivatives #derivatives_of_exponential_functions_and_logarithmic_functions #Higher_Mathematics_Differentiation #anilkumarmath #globalmathinstitute #mcv4u

свернуть