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Na vhodném intervalu zderivujte funkci f(x)=\frac{1}{x^9}-\ln{3}.

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Na vhodném intervalu zderivujte funkci $f(x)=\frac{1}{x^9}-\ln{3}.$ f(x)=\frac{1}{x^9}-\ln{3}.

$f'(x)=\frac{x^9-9x^8}{x^{18}}$ f'(x)=\frac{x^9-9x^8}{x^{18}}

$f'(x)=-\frac{1}{3}$ f'(x)=-\frac{1}{3}

$f'(x)=\frac{-9}{x^{10}}-\frac{1}{3}$ f'(x)=\frac{-9}{x^{10}}-\frac{1}{3}

$f'(x)=\frac{-9}{x^{10}}$ f'(x)=\frac{-9}{x^{10}}

Žádná z odpovědí a–d není správně.

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