Differentiation problem (2)

Find the derivative of $e^{x^2 + 2x\log x}$ w.r.t x

Question

Differentiation problem (2)

Find the derivative of $e^{x^2 + 2x\log x}$ w.r.t x

anonymous · Answer

f(x)*(2x + 2log(x) + 2)
where f(x) is the above function

ganeshie8 · Answer

Chain rule @mathslover

$\large \left[f(g(x))\right]' = f'(g(x)) \times g'(x)$

mathslover · Answer

Okay, wil try, give me 1 min. 

*will

mathslover · Answer

Okay, I got it..

mathslover · Answer

Thanks @ganeshie8 and @aviz

ganeshie8 · Answer

np :) apparently e^x is a very special function - the only function whose derivative equals itself !

mathslover · Answer

Calculus is really fun... :)

ganeshie8 · Answer

haha have fun until u get to the taylor series ;)

mathslover · Answer

lol... Do we study that in 12th class?

ganeshie8 · Answer

no, i dont think so... so you're all good :D

mathslover · Answer

That's great then... so, probably, that will also not come in IIT.... I'm surely SAFE! :P 

But, I would love to study that some day...

ganeshie8 · Answer

but taylor series very important result from Calc1 and it comes in many proofs. 
yes having knowledge of what it is would be good  :)

mathslover · Answer

Thanks a lot for your help and for that information.

ganeshie8 · Answer

np :)