Question

Find the derivative of xe^-2x

Answer 1

@rajathsbhat can u help?

Answer 2

can you do it if i teach you how to derive e^-2x?

Answer 3

I got 2e^-2x is that correct?

Answer 4

product rule..

Answer 5

okay

Answer 6

what you got when you differentiated the exponent is correct......

Answer 7

okay

Answer 8

do you know the product rule??

Answer 9

no

Answer 10

this is the product rule..... it says if you have
eg.... \[y=uv\]
\[\frac{ dy }{ dx }= uv \prime + vu \prime \]

Answer 11

ok

Answer 12

can you give an example?

Answer 13

yes...sure
eg. \[y= 7xe ^{x ^{2}}\]
\[\frac{ dy }{ dx }=7x \times 2xe ^{x ^{2}} +xe ^{x ^{2}} \times 7\]

Answer 14

ok

Answer 15

can you simplify it further from there?????

Answer 16

i think so

Answer 17

thx for the help

Answer 18

you are welcome.....