How do you find the derivative of ##y= log x^2##?
February 20th, 2023
##d/dx(log(x^2))=2/x##
From the properties of log function we know that,
##log(x^n)=n*log(x)##
Applying this property to given problem ##log(x^2)## may be written as ##2*log(x)##
The differentiation of ##log(x)## is known and ##2## is a constant. So,
##d/dx(2*log(x))=2*d/dx(log(x))=2/x##
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