# the differentiation of x=3 sin(pie t) with respect to t at t=1 s is given bythe differentiation of x=3 sin(pie t) with respect to t at t=1 s is given by

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Please find below the solution to the asked query:

Given equation is,

$x=3\mathrm{sin}\left(\pi t\right)\phantom{\rule{0ex}{0ex}}Bydifferentiatingonbothsides,\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{d}{dx}\left\{x\right\}=\frac{d}{dx}\left\{3\mathrm{sin}\left(\pi t\right)\right\}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{d}{dx}\left\{x\right\}=3\pi \mathrm{cos}\left(\pi t\right)$

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