I am suppose to derive the following and then find x if f´(x)= 0(adsbygoogle = window.adsbygoogle || []).push({});

f(x) = (6-x^{2}) [tex]\bullet[/tex] e^{2x}

Which one should be used? I guess I am confused with the fact that it is e^{2x}

Product rule gives:

(6-x^{2}) [tex]\bullet[/tex] e^{2x}+ e^{2x}[tex]\bullet[/tex] (-2x)

e^{2x}(6-x^{2}-2x) (x_{1}= 0)

-x^{2}-2x+6 = 0 gives decimal values that doesn't seem to fit.

Chain rule gives:

I'm not even sure how to start here. I assume that the outer derivate is e^{2x}? Or should the chain rule be applied to it and then the product rule?

Some kind of hint as to what is the correct path would be greatly appreciated

Edit: Latex mishap >_>

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# Chain Rule/Product Rule Question

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