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Provide solution for RD Sharma maths class12 Chapter Maxima and Minima exercise Multiple choice question, question 12.

Answers (1)

Answer: option(c) x =1           

Hint: For local maxima or minima, we must have f'(x)=0.

Given:  f(x)=x^2+x+1

Solution:

We have,

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

f(x)=2x+1                              

For maxima and minima f'(x)=0

\Rightarrow 2x+1

\Rightarrow x=\frac{-1}{2}\euro [0,1]

At extreme points,

f(0)=1>0

f(1)=1+1+1=3>0

So, x = 1 is a local minima.

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