# Ex 6.2,11 - Chapter 6 Class 12 Application of Derivatives (Term 1)

Last updated at April 14, 2021 by Teachoo

Ex 6.2

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Ex 6.2, 6 (a)

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Ex 6.2,11 You are here

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Last updated at April 14, 2021 by Teachoo

Ex 6.2, 11 Prove that the function f given by f (đĽ) = đĽ^2 â đĽ + 1 is neither strictly increasing nor strictly decreasing on (â 1, 1).Given f(đĽ) = đĽ2 â đĽ + 1 Finding fâ(đ) fâ(đĽ) = 2đĽ â 1 Putting fâ(đ) = 0 2đĽ â 1 = 0 2đĽ = 1 đĽ = 1/2 Since đ â (âđ , đ) So, our number line looks like Hence, f(x) is strictly decreasing for đĽ â (â1 , 1/2) & f(x) is strictly increasing for đĽ â (1/2, 1) Hence, f(đĽ) is neither decreasing nor increasing on (âđ , đ). Hence Proved