Find dy/dx when y=log(x)/log(x)−2

asked May 20, 2023 40.1k views

23 votes

Find dy/dx when
y=log(x)/log(x)−2

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11 votes

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

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

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

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

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

$\\ \sf\longmapsto 1$

Gerwitz answered May 25, 2023

3.0k points

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