This has been bugging me:

The profitPmade by a companytyears after it has been set up is given by the following equation:

. . . . .[tex]P(t)\, =\, 16\, \sqrt{\strut t\,}\, +\, \dfrac{27}{t},\quad 0\, <\, t\, <\, 10[/tex]

Find the time during which the company's profit is increasing.

I found the first derivative and set it equal to zero but I am unable to solve for t. Can anyone help me with this? Thank you!

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