Question

derivative of x^6 *e^x

= u'v + v'u

6x^5 * e^x + e^x * x^6....

Can I said 2e^x?

Answer 1

or is it(6x^5 * e^x) + (e^x * x^6) ?

Answer 2

it is what you said before you simplified
\[6x^5e^x+x^6e^x\] if you like you can factor out the common factor of \(x^5e^x\)

Answer 3

So I cannot do 2e^x?

Answer 4

in which case you would get
\(x^5e^x(6+x)\)

Answer 5

no \(e^x+e^x=2e^x\) but that is not what you have here

Answer 6

So it os like (6x^5 * e^x) + (e^x * x^6) they stay seperate...?

Answer 7

is*

Answer 8

yes or you can factor as i wrote above

Answer 9

okies ty :).