What is the monotone f(x)=2x(4x^2+3)^{1/2} ?

The monotone f(x)=2x(4x^2+3)^{1/2} is Increasing:-infinity <x<infinity

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monotone f(x)=2x(4x^2+3)^{1/2}

monotone intervals

f (x) = 2 x (4 x^{2} + 3)^{\frac{1}{2}}

Increasing : - \infty < x < \infty

Solution steps

f^{'} (x) = \frac{2 ( 8 x ^{2} + 3 )}{( 4 x ^{2} + 3 ) ^{\frac{1}{2}}}

Find intervals:

Increasing

: - \infty < x < \infty

Increasing : - \infty < x < \infty

What is the monotone f(x)=2x(4x^2+3)^{1/2} ?
The monotone f(x)=2x(4x^2+3)^{1/2} is Increasing:-infinity <x<infinity