найти производную:у=ln sin корень степени 5 (arctg e^3x). Created by adavava. algebra-ru

найти производную:у=ln sin корень степени 5 (arctg e^3x)...

July 2022 1 10 Report

найти производную:
у=ln sin корень степени 5 (arctg e^3x)

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Holga1 У=ln х-1/х+1
y'=1/x+1/(x+1)^2=(x^2+3x+1)/x(x+1)
y'=1/x+1/x^2=x^2+x=(1+x)/x^2
y'=(2*sqrt(x^2+1)-2x(2x)*(1/2)/sqrt(x^2+1))/(x^2+1)=sqrt(x^2+1)/(x^2+1)^2

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