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Application of Derivatives question

2009 · Shift 0 · Q36

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2009 · Shift 0 · Q36

Application of Derivatives question

2009 · Shift 0 · Q36

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Given

P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d

such that

x=0

is the only real root of

P'\,\left( x \right) = 0.

If

P\left( { - 1} \right) \lt P\left( 1 \right),

then in the interval

\left[ { - 1,1} \right]:

A
$P(-1)$ is not minimum but $P(1)$ is the maximum of $P$
B
$P(-1)$ is the minimum but $P(1)$ is not the maximum of $P$
C
Neither $P(-1)$ is the minimum nor $P(1)$ is the maximum of $P$
D
$P(-1)$ is the minimum and $P(1)$ is the maximum of $P$

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