Global Maximum and Minimum and the required condition

Definition and the required condition to define it

Local maximum and local minimum and condition for it

If p and q are respectively the global maximum and global minimum of the function f(x) = x^(2) e^(2x) on the interval [-2,2], then pe^(-4) +qe^(4) =

Find the global maximum and global minimumor of the function f:RrarrR defined by f(x)=x^2

For a certain curve (d ^(2)y)/(dx ^(2))=6x -4 and curve has local minimum values 5 at x=1, Let the global maximum and global minimum vlaues, where 0 le x le 2, are M and m. Then the vlaue of (M-m) equals to :

Introduction|Maxima (Local / Relation Maxima)|Minima (Local / Relative Minima)|Absolute Maximum (Global Maximum)|Absolute Minimum (Global Minimum)|Global Maximum / Minima In [a, b]|Exercise Questions|Derivative Test For Maxima - Minima|Exercise Questions|OMR

A curve y=f(x) satisfies (d^2y)/dx^2=6x-4 and f(x) has local minimum value 5 at x=1 . If a and b be the global maximum and global minimum values of f(x) in interval [0,2] , then ab is equal to…

A curve y=f(x) satisfies (d^2y)/dx^2=6x-4 and f(x) has local minimum value 5 at x=1 . If a and b be the global maximum and global minimum values of f(x) in interval [0,2] , then ab is equal to…

Examine the graph of following functions in each case identify the points of global maximum // minimum and local maximum // minimum.