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Question-148330




Question Number 148330 by 0731619 last updated on 27/Jul/21
Answered by qaz last updated on 27/Jul/21
y_((n)) =2^((n+1)/(n^2 −4n))   y_((n)) ′=2^((n+1)/(n^2 −4n)) ∙(((n+1)/(n^2 −4n)))((1/(n+1))−((2n−4)/(n^2 −4n)))∙ln2
$$\mathrm{y}_{\left(\mathrm{n}\right)} =\mathrm{2}^{\frac{\mathrm{n}+\mathrm{1}}{\mathrm{n}^{\mathrm{2}} −\mathrm{4n}}} \\ $$$$\mathrm{y}_{\left(\mathrm{n}\right)} '=\mathrm{2}^{\frac{\mathrm{n}+\mathrm{1}}{\mathrm{n}^{\mathrm{2}} −\mathrm{4n}}} \centerdot\left(\frac{\mathrm{n}+\mathrm{1}}{\mathrm{n}^{\mathrm{2}} −\mathrm{4n}}\right)\left(\frac{\mathrm{1}}{\mathrm{n}+\mathrm{1}}−\frac{\mathrm{2n}−\mathrm{4}}{\mathrm{n}^{\mathrm{2}} −\mathrm{4n}}\right)\centerdot\mathrm{ln2} \\ $$

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