# Calculate the derivatives of all orders: f'(x), f''(x), f'''(x), f^{4},...,f^{n}(x),...,f(x)=e^{3x-1}

Calculate the derivatives of all orders: f'(x), f''(x), f'''(x), $$\displaystyle{f}^{{{4}}},\ldots,{{f}^{{{n}}}{\left({x}\right)}},\ldots,{f{{\left({x}\right)}}}={e}^{{{3}{x}-{1}}}$$

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diskusje5
$$\displaystyle{f}'{\left({x}\right)}={3}{e}^{{{3}{x}-{1}}}$$
$$\displaystyle{f}{''}{\left({x}\right)}={9}{e}^{{{3}{x}-{1}}}$$
$$\displaystyle{f}{'''}{\left({x}\right)}={27}{e}^{{{3}{x}-{1}}}$$
$$\displaystyle{{f}^{{{4}}}{\left({x}\right)}}={81}{e}^{{{3}{x}-{1}}}$$
$$\displaystyle={{f}^{{{n}}}{\left({x}\right)}}={3}^{{{n}}}{e}^{{{3}{x}-{1}}}$$