(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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Differentiating logarithmic functions

**Physics Forums | Science Articles, Homework Help, Discussion**