What is the derivative of #10log_4x/x#?
2 Answers
Nov 18, 2017
Derivative is
Explanation:
As
Hence
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Nov 18, 2017
Explanation:
#"differentiate using the "color(blue)"quotient rule"#
#"given "y=(g(x))/(h(x))" then "#
#dy/dx=(h(x)g'(x)-g(x)h'(x))/(h(x))^2larr"quotient rule"#
#g(x)=10log_4xrArrg'(x)=10xx1/(xln4)#
#h(x)=xrArrh'(x)=1#
#rArrdy/dx=(x .10/(xln4)-10log_4x)/(x^2)#
#color(white)(rArrdy/dx)=(10(1/(ln4)-log_4x))/x^2#