Find dy/dx when y=log(x)/log(x)−2

Herman Kan asked Jan 20, 2023

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40 votes

Find dy/dx when
y=log(x)/log(x)−2

Herman Kan asked Jan 20, 2023

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13 votes

$\\ \sf\longmapsto (dy)/(dx)$

$\\ \sf\longmapsto (d)/(dx)(log(x))/(log(x)-2)$

$\\ \sf\longmapsto ((d)/(dx)logx)/((d)/(dx)logx-2)$

$\\ \sf\longmapsto (1/x)/(1/x-0)$

$\\ \sf\longmapsto (x)/(x)$

$\\ \sf\longmapsto 1$

Avi Pinto answered Jan 26, 2023

3.3k points

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