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Differential Calculus

let p(x)= (A0) + (A1)x^(2) + (A2)x^(4) +...................... .........+(An)x^(2n) be a polynomial in a real variable x with 0

(a)niether a maximum nor a minimum

(b)only one maximum

(c)only one minimum

(d)none of these

Profile image of vikash  chandola
15 Years agoGrade
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1 Answer

Profile image of Puneet Mittal AskiitiansExpert-IITD
15 Years ago

Hi Vikash,

It has anwer as (d) None of these.

The polynomial can have several Minimum and Maximum depending on the values and signs of A0 , A1 , A2 ....An.

You can take a polynomial where A0 , A1 and A2 etc are postive as well as negative.

by plotting some values for x u can see the result as (d)

Puneet