If $s=3t^{2}-\dfrac{1}{t}$ , find $\dfrac{ds}{dt}$

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chetibabyTyro

Asked: January 17, 20212021-01-17T09:39:03+00:00 2021-01-17T09:39:03+00:00In: Calculus and Trigonometry

If $s=3t^{2}-\dfrac{1}{t}$ , find $\dfrac{ds}{dt}$

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Sengemegz · Answer 1 · 2021-01-25T23:08:31+00:00

Sengemegz Verified Expert

$s=3t^{2}-t^{-1}$
$\dfrac{ds}{dt}=2\times 3t^{2-1}-(-1)\times t^{-1-1}$
$\dfrac{ds}{dt}=6t^{1}+t^{-2}$
$\dfrac{ds}{dt}=6t+\dfrac{1}{t^{2}}$

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