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f-x-1-4x-3-1-5-find-f-x-with-using-lim-h-0-f-x-h-f-x-h-




Question Number 74234 by aliesam last updated on 20/Nov/19
f(x)=(1/( ((4x^3 ))^(1/5) ))    find f^  ′(x)    with using lim_(h→0) ((f(x+h)−f(x))/h)
$${f}\left({x}\right)=\frac{\mathrm{1}}{\:\sqrt[{\mathrm{5}}]{\mathrm{4}{x}^{\mathrm{3}} }} \\ $$$$ \\ $$$${find}\:{f}^{\:} '\left({x}\right) \\ $$$$ \\ $$$${with}\:{using}\:\underset{{h}\rightarrow\mathrm{0}} {{lim}}\frac{{f}\left({x}+{h}\right)−{f}\left({x}\right)}{{h}} \\ $$

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