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JEE Advanced 2010Paper 2

Exam: JEE Advanced
Year: 2010
Paper: Paper 2
Subject: Mathematics
Chapter: Application of Derivatives

JEE Advanced 2010 · Paper 2 · Mathematics · Application of Derivatives

Paragraph: Consider the polynomial f(x)=1+2 x+3 x^2+4 x^3 . Let s...

Paragraph: Consider the polynomial

f(x)=1+2 x+3 x^2+4 x^3

. Let

s

be the sum of all distinct real roots of

f(x)

and let

t=|s|

.Question: The function

f^{\prime}(x)

is

Paragraph: Consider the polynomial f(x)=1+2 x+3 x^2+4 x^3 . Let s be the sum of all distinct real roots of f(x) and let

Options

Aincreasing in $\left(-t,-\frac{1}{4}\right)$ and decreasing in $\left(-\frac{1}{4}, t\right)$
Bdecreasing in $\left(-t,-\frac{1}{4}\right)$ and increasing in $\left(-\frac{1}{4}, t\right)$
Cincreasing in $(-t, t)$
Ddecreasing in $(-t, t)$

Correct answer

B. decreasing in $\left(-t,-\frac{1}{4}\right)$ and increasing in $\left(-\frac{1}{4}, t\right)$

Step-by-step solution

Figure is self explanatory Paragraph: Consider the polynomial f(x)=1+2 x+3 x^2+4 x^3 . Let s be the sum of all distinct real roots of f(x) and let

Paragraph: Consider the polynomial f(x)=1+2 x+3 x^2+4 x^3 . Let s be the sum of all distinct real roots of f(x) and let

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