Problems 60+

Problem No. 81 (Maxima, Minima)

Problem No. 81 (Maxima, Minima)

by 123iitjee.com Support -
Number of replies: 1

There are two columns. Each option on the left column may have one or more than one match on the right column. Answer is accepted as fully correct if all matches are correct.

Many got few matches correct but no reply could be considered as fully correct or very close.

In reply to 123iitjee.com Support

Re: Problem No. 81 (Maxima, Minima)

by 123iitjee.com Support -
a-p,r
This was a technical one. In the definition of local maxima/minima there is equal to sign also which makes several points of maxima and minima throughout the constant function. A constant function is a differentiable function with derivative as zero. Hence (p). While there are several values of x for which there is maxima/minima, the value of the function is only one. Hence, (r) also.
b-p
c-p,r,s
d-r (most got it right)

eBooklet on Applications of Derivatives containing definitions and more detailed explanation of this question is scheduled for .pdf publication in a few days. However, one can also refer to NCERT eBooklet of class 12th on Application of Derivatives page 27, Definition 4 (direct link at the moment is this).