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  4. The function f defined by f(x) = 4x4 - 2x + 1 is increasing for

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Q. The function $f$ defined by $f(x) = 4x^4 - 2x + 1$ is increasing for

Application of Derivatives

Solution:

We have, $f(x) = 4x^4 - 2x + 1$
$\Rightarrow f'\left(x\right) = 16x^{3} - 2$
The function is increasing if $f'\left(x\right) > 0$
$\Rightarrow 16x^{3} - 2 > 0$
$\Rightarrow x > \frac{1}{2}$