Question

what is the derivative of (x^2)/(e^(4x))

Answer 1

\[\frac{ x ^{2} }{ e ^{4x} }\]
since this involves division, we'll follow
\[d(\frac{ u }{ v }) = \frac{ vdu - udv }{ v ^{2} }\]
let us have
\[u = x ^{2} ; du = 2x dx\]
\[v = e ^{4x} ; dv = e ^{4x} (4) dx\]
now you substitute

Answer 2

i had \[e ^{4x}((2x-4x ^{2})/(e ^{4x}))\]