Let be such that the function given by ,

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let a,b∈Ra,b\in\mathbb{R} be such that the function ff given by f(x)=log⁡∣x∣+bx2+axf(x)=\log|x|+bx^2+ax, x≠0x\ne0, has extreme values at x=−1x=-1 and x=2x=2. Statement I: ff has a local maximum at x=−1x=-1 and at x=2x=2. Statement II: a=12a=\frac12 and b=−14b=-\frac14. (1) Statement I is false, Statement II is true (2) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I (3) Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I (4) Statement I is true, Statement II is false

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