The function f(x) = 2 x^3 - 3 x^2 + 90x + 174 is increasing in th… - Vidyadip

MCQ

The function $f(x) = 2{x^3} - 3{x^2} + 90x + 174$ is increasing in the interval

A
${1 \over 2} < x < 1$
B
${1 \over 2} < x < 2$
C
$3 < x < {{59} \over 4}$
✓
$ - \infty < x < \infty $

✓

Answer

Correct option: D.

$ - \infty < x < \infty $

d
(d) $f'\,(x) = 6\,({x^2} - x + 15) > 0\,\forall \,x$.

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