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What is the derivative of #f(x)=sqrt(1+log_3(x)# ?

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Marko T. · Ananda Dasgupta

Mar 15, 2018

#d/dx(sqrt(1+log_3x))#

#=((d/dx)(1+log_3x))/{2sqrt(1+log_3x)}#

#=((d/dx)(1+logx/log3))/{2sqrt(1+log_3x)}#

#=(1/(xln3))/{2sqrt(1+log_3x)}#

#=1/(2xln3sqrt(1+log_3))#

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