Question

найдите производную
$f(x) = \frac{5}{x {}^{5} } - 6 \sqrt{x}$


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Answer 1

$\displaystyle\bf\\f(x)=\frac{5}{x^{5} } -6\sqrt{x} =5\cdot x^{-5} -6\sqrt{x} \\\\\\f'(x)=5\cdot(x^{-5} )'-6\cdot(\sqrt{x} )'=5\cdot (-5x^{-6} )-6\cdot\frac{1}{2\sqrt{x} } =\\\\\\=-25x^{-6} -\frac{6}{2\sqrt{x} } =-\frac{25}{x^{6} } -\frac{3}{\sqrt{x} }$