MHT CET202312 May 2023Morning ShiftMathematicsApplication of DerivativesActual

If x=-1 and x=2 are extreme points of f (x)= x+ x^2+x, and are constants, then the value of ^2+2 is

Options

A-3
B3
C3 2
D5

Correct answer

B. 3

Step-by-step solution

According to the given condition, f ^ (1)=0 and f ^ (2)=0 f (x)= x+ x^2+x array ll & f ^ (x)= x +2 x+1 & f ^ (-1)=0 +2 =1 & and f ^ (2)=0 +8 =-2 array From (i) and (ii), we get aligned & = -1 2 and =2 & ^2+2 =4-1=3 aligned

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