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What is the derivative of #log_5sqrt(x^2-1)#?

1 Answer

A. S. Adikesavan

Aug 8, 2016

#x/((ln 5)(x^2-1))#

Explanation:

#(log_5sqrt(x^2-1))'#

#=(1/2)log_5(x^2-1))'#

#=(1/2)((ln(x^2-1)')/ln 5)#

#=(1/(2 ln 5))((2x)/(x^2-1))#

#=x/((ln 5)(x^2-1))#

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