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Please solve RD Sharma class 12 Chapter Maxima and Minima exercise Multiple choice question, question 30 maths textbook solution.

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Answer: option(d) f (x) is an increasing function.

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

Given: f(x)=2x+\cos x


We have,

f(x)=2x+\cos x                                                       

\Rightarrow f'x=2-\sin x>0                                              

Hence, f (x) is an increasing function.

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