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Soham Mukherjee Grade: 12
        

please suggest me a way to solve maxima minima problems faster without differentiating which makes it long...and time consuming..........

7 years ago

Answers : (2)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear sohan


You can't think maxima minima problem without differentiation


in most of the problem you need to use differentiation to find mox or mi vaue


in few cases u can solve problem by using direct result.


for exm.


 if you want to know max/min value of 2 degree polynomial then u can find it by knowing the vertex of parabola.


 why u r  worring about differentiation ,it is oe of the simplest topic in maths.


 




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Badiuddin


 

7 years ago
Askiitians_Expert Yagyadutt
askIITians Faculty
74 Points
										

Hii soham


 


Well it depends on question dear...whether the question can be reduced in some format where differntiation is required or not...!


 


Like ...f(x) = x^2 - 2x + 3    Mind the minimum value 


 


f(x) = x^2 - 2x + 1 + 2  = (x-1)^2 + 2 


 


(x-1)^2 is always positive with minimum value zero....so f(x) has minimum value = 2


 


In some question like ....F(x) = x + 1/x  where x>0 ..find the minimum value...then you need to apply AM>=GM ..it will be easier..


 


So there are some class of question which can be done without using Differentiation...but only if you are able to determine it...Other wise ..differentiation is the only way to solve for maximum and minimum value of function..


Like in these question


 


F(x) = 3x^3 + 5 x^2 + 3x + 6  you have to differntiate it to find maximum and minimum value..


 


Sometime in trignometry Question....differentiation is not required


Like f(x) = 3sinx + 4cosx ...


....But in general you must know the way of finding maximum and minimum using differentiation


 


Best of luck


Yagya


askiitians_expert

6 years ago
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