For the function f(x) = x^4 (12 ln x - 7) - Vidyadip

MCQ

For the function $f(x) = x^4 (12 ln x - 7)$

A
the point $(1, - 7)$ is the point of inflection
B
$x = e^{1/3}$ is the point of minima
C
the graph is concave downwards in $(0, 1)$
✓
All of the above

✓

Answer

Correct option: D.

All of the above

d
$\frac{{dy}}{{dx}}= 16 x^3 (3 ln x - 1) $

$\frac{{d^2y}}{{dx^2}} = x^2 (9 ln x) $

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