First slide
Maxima and minima
Question

If f(x)=Min 2x2,x3:      2x<0 x|x|:       0x<1 3x:       1x2 now match the following 

Column IColumn II
A. The number of critical points of f(x) in [-2, 2] isP. 1
B. The length of the longest interval in which f(x) satisfies Rolle's theorem isQ. 2
C.The number of values of ‘c’ of Rolle's Mean value theoremR. 3
D. The maximum value of f(x) in [-2, 2] is S. 0

Difficult
Solution

f(x)=2x2, 2x<1x3,    1x<0x2,         0x<13x,       1x2

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