how to get the derivative of e^x^2+e^4x ?

Question

anonymous · Answer

I'm not sure if I write the function correctly?
$$\large (e^{x})^{2} + e^{4x}$$

anonymous · Answer

$$e^{2x} + e^{4x}$$
$$= 2e^{2x} + 4e^{4x}$$
$$= 2( 2e^{4x} + e^{2x})$$

Is this correct? @xapproachesinfinity

xapproachesinfinity · Answer

Correct! rewrite the chain rule that you used

anonymous · Answer

The rule is
$$\large \frac{ d }{ dx } e^{f(x)} = \frac{ d }{ dx } f(x) * e^{f(x)}$$

anonymous · Answer

Thank you very much, xapproach! :))

xapproachesinfinity · Answer

Anytime!

zepdrix · Answer

There's a difference between: $\Large\rm (e^x)^2$ and $\Large\rm e^{x^2}$
I'm not sure which one she meant, hopefully you have the correct one heh c:

xapproachesinfinity · Answer

yeah! I was not sure what he wrote too
was it exp(x)2 or epx(x^2)

xapproachesinfinity · Answer

only the one who posted knows what is that.

anonymous · Answer

So can we try 
$$\large e^{x^{2}}$$
:)) a little harder

zepdrix · Answer

Hmm yah that one could be fun c:

zepdrix · Answer

Give it a shot stud! :3

anonymous · Answer

$$\large = 2xe^{x^{2}} + 4e^{4x}$$
can we do something with the powers?

zepdrix · Answer

yayyy good job \c:/
with the powers? like exponent rules? Hmm no, not really.

anonymous · Answer

Thank you zep and approach! :)

xapproachesinfinity · Answer

You're welcome