Question

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

Answer 1

[bottom * derivative of top - top * derivative of bottom]/(bottom)^2

[ 4^x - x (4^x)ln(4)] / 4^(2x)
=(4^x/4^2x) [ 1 - x ln2^2]
= [ 1 - 2x ln2] / 4^x