Question

find the derivative of this function
\[y=xe ^{-6x}\]

Answer 1

using integration by parts, let u = x and dv = e^(-6x)

Answer 2

o whoops derivative

Answer 3

yes but how do i derivative the e^-6x

Answer 4

use the product rule

Answer 5

e^(-6x) + x(-6)e^(-6x)

Answer 6

since the product rule says d/dx f(x)g(x) = f'(x)g(x) + g'(x)f(x) so let f(x) = x and g(x) = e^(-6x)

Answer 7

so thats the answer? e^(-6x)?

Answer 8

have look at the "solution.gif" above.

Answer 9

i did but i just dont understand....

Answer 10

the derivative is right hand side of the equation.

Answer 11

"d/dx" means the derivative with respect to variable x.

Answer 12

i know but when i submit into my web assign it said its wrong...i dont understand how i did it myself too

Answer 13

i think result should be
(e^(-6*x))*(1-6*x)
* means multiplication.

Answer 14

ok..let me see