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F-t-4t-3-2cos-2t-3e-3t-find-F-t-F-t-12t-2-4sin-2t-9e-3t-is-my-answer-correct-




Question Number 190079 by uchihayahia last updated on 26/Mar/23
     F(t)=(4t^3 ,2cos(2t),3e^(3t) )   find F ′(t)   F ′(t)=(12t^2 ,-4sin(2t),9e^(3t) )   is my answer correct?
$$ \\ $$$$ \\ $$$$\:{F}\left({t}\right)=\left(\mathrm{4}{t}^{\mathrm{3}} ,\mathrm{2}{cos}\left(\mathrm{2}{t}\right),\mathrm{3}{e}^{\mathrm{3}{t}} \right) \\ $$$$\:{find}\:{F}\:'\left({t}\right) \\ $$$$\:{F}\:'\left({t}\right)=\left(\mathrm{12}{t}^{\mathrm{2}} ,-\mathrm{4}{sin}\left(\mathrm{2}{t}\right),\mathrm{9}{e}^{\mathrm{3}{t}} \right) \\ $$$$\:{is}\:{my}\:{answer}\:{correct}? \\ $$
Commented by mathocean1 last updated on 26/Mar/23
yeah.
$${yeah}. \\ $$

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