Question

calc help, product rule xe^(x^(2))
f'*g + g'*f
e^(x^(2)) + ? * x
not sure what the derivative of e^(x^(2)) is

Answer 1

Product rule
\[d(f\times g)=f'\times g+f\times g'\]

Answer 2

if the x didnt have a ^2 id be fine but i just dont how to solve for that

Answer 3

Use \[\frac{d}{dx}e^{f(x)}=e^{f(x)}\cdot f'(x)\]

Answer 4

\[ (e^{x^2})' =e^{x^2} \cdot 2x \]

Answer 5

here we have
\[(xe^{x^2})=e^{x^2}\frac d {dx} (x)+x\frac d {dx} (e^{x^2})\times {\frac{d}{dx}x^2}\]

Answer 6

so then the answer of the problem would be 1 + 2x^2?

Answer 7

multiplied by \(e^{x^2}\)

Answer 8

ok thanks alot

Answer 9

@kingpin do you understand this?

Answer 10

mhmm