Question

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\[find the derivative of the function f(x)=\frac{ e ^{-2t} }{ 1+4t }\]

Answer 1

looks like quotient rule and chain rule.

Answer 2

\[u=e^{-2t},\ v=1+4t\]\[du=-2e^{-2t},\ dv=4\]\[(vdu-udv)/v^2\]

Answer 3

\[\frac{ (1+4t)*2e ^{-2t}-e ^{-2t}*4 }{( 1+4t) ^{2}}\]

Answer 4

@stamp \[\frac{ (1+4t)*2e ^{-2t}-e ^{-2t}*4 }{( 1+4t) ^{2}}\]

Answer 5

@oheneba Simplify your numerator.

Answer 6

http://www.wolframalpha.com/input/?i=derivative+of+e^%28-2x%29%2F%281%2B4x%29