(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Differentiate the following:

y =e^{4x}/x^{2}+1

2. The attempt at a solution

I know you have to use quotient rule here.

so I wrote out (x^{2}+1)* d/dxe^{4x}) - d/dx (x^{2}+1)*e^{4x}all over (x^{2}+ 1)^{2}

I have no idea how to continue on from here...how would you differentiate e to the power of 4x without this technique: I let u = 4x, then

y = e^u

dy/du = e^u = e^(4x)

du/dx = 4

dy/dx = (dy/du)(du/dx) = 4e^(4x)

If someone could please provide a full solution, this is really appreciated, I've got a test coming up very very soon!

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# Homework Help: Differentiating logarithmic functions

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