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Mathematics 14 Online
OpenStudy (vera_ewing):

Math question

OpenStudy (vera_ewing):

OpenStudy (welshfella):

differentiate and equate to zero to find the turning points

OpenStudy (michele_laino):

furthermore the first derivative of your function is: \[f'\left( x \right) = 9{x^2} - 16\]

OpenStudy (anonymous):

円の円周は直径として直接変化します。円は60フィートの直径と188.4フィートの円周を持っています。 15フィートの直径とする円の円周は何ですか? 47.1フィート 7.5フィート 57.1フィート

OpenStudy (michele_laino):

your function is an increasing function if the subsequent condition holds: \[9{x^2} - 16 > 0\]

OpenStudy (michele_laino):

please solve that inequality

OpenStudy (vera_ewing):

9x^2-16>0 9x^2>0+16 9x^2>16 x>4/3

OpenStudy (ribhu):

not this way...

OpenStudy (ribhu):

find two solution.. square root is written with positive and negative sign...

OpenStudy (freckles):

what's up with those subscripts being x?

OpenStudy (michele_laino):

we can rewrite that inequality as below: \[\left( {3x - 4} \right)\left( {3x + 4} \right) > 0\] so the starting inequality is equivalent to the subsequent two systems of inequalities: \[\left\{ \begin{gathered} 3x - 4 > 0 \hfill \\ 3x + 4 > 0 \hfill \\ \end{gathered} \right.,\quad \left\{ {\begin{array}{*{20}{c}} {3x - 4 < 0} \\ {3x + 4 < 0} \end{array}} \right.\] please solve them

OpenStudy (welshfella):

you could have also have found the turning points and their nature and drawn a rough graph which might have looked like |dw:1444420588420:dw|

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