Question

How do you find the derivative `f (x) = x^6 · e^(7x)`?

Answer 1

`f=x^6 g = e^(7x)`
`f ' = 6x^5 g' = 7 e^(7x)`
`f ' (x) = fg' + gf'`
=`7 (x^6) (e^(7x))+6e^(7x)x^5`

Explanation:

Let f be x^6 and g be e^(7x) then find f' and g' and then put it into the product rule