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Question

If x lies in the interval [0,1], then the least value of x2 + x + 1 is
(a) 3

(b)34

(c) 1

(d) none of these


Solution

(c) 1Given: fx= x2+x+1f'x=2x+1For a local maxima or a local minima, we must have f'x=02x+1=02x=-1x=-120, 1At extreme points: f0=0f1=1+1+1=3>0So, x=1 is a local minima.

Mathematics
RD Sharma XII Vol 1 (2015)
Standard XII

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