## Question

### Solution

Correct option is

n’ can be any even number  When we differentiate it less than n times there will be a factor or (x – 2) in every for n1. If we differentiate in n times, only term, with no factor of (x – 2) is one is which (x – 2)n is differention n times  So if x = 2 is a minima, n must be even.

OR Critical points: x = 2, 0, –2.

At x = 2; we have a local extremes if

x = 2 is a double or ever root ⇒ x Ïµ even.

#### SIMILAR QUESTIONS

Q1

Find the maximum surface area of a cylinder that can be inscribed in a given sphere of radius R

Q2

Find the semi-vertical angle of the cone of maximum curved surface area that can be inscribed in a given sphere of radius R.

Q3

Find the point on the curve y = x2 which is closest to the point A(0, a).

Q4

Find the shortest distance between the line y – x = 1 and the curve x = y2.

Q5

Find the vertical angle of right circular some of minimum curved surface that circumscribes in a given sphere.

Q6 AB > 0, then minimum value of sec A + sec B is equal to

Q7 Q8

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Q9

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Q10 