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Mathematics
For the cubic, f( x )= x 3-3 x 2+6 x +2006, the statement which does not hold good, is
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Q. For the cubic, $f( x )= x ^3-3 x ^2+6 x +2006$, the statement which does not hold good, is
Application of Derivatives
A
$f( x )$ is monotonic increasing $\forall x \in R$
B
$f: R \rightarrow R$ is injective as well as surjective.
C
slope of the tangent at the point of inflection is 3 .
D
$f ( x )$ is non monotonic with exactly one real root.
Solution:
Correct answer is (d) $f ( x )$ is non monotonic with exactly one real root.