If f(x)=3x^ 2 +4x+5 then for which value of x, f'(x)=f''(x) ? - Vidyadip

Question

If $f(x)=3x^{2}+4x+5$ then for which value of x, $f'(x)=f''(x)$ ?

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Answer

$f'(x) = 6x + 4$
$f''(x) = 6$
Set $f'(x) = f''(x)$:
$6x + 4 = 6$
$6x = 2$
$x = \frac{2}{6} = \frac{1}{3}$.

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