Question

Using the function y=x/4^x, show that the most simplified derivative is y′=(1−2xln(2))/4^x

i dont understand how you get the 2xln(2) mine is ln(4)

Answer 1

by the quotient rule ....

dy/dx = ( 4^x (1) - x(4^x)(ln4) )/ 4^(2x)
= 4^x( 1 - xln4)/4^(2x)
= ( 1 - xln4)/4^x

can you see it ? The tricky part is ln 4 = ln (2^2) = 2ln2
I really don't see the point of doing that "simpification"