Question

differentiate

Answer 1

\[M = 4.2e ^{2x} - 2.9e ^{-0.2x}\]

Answer 2

okay well what is the derivative of e^x?

Answer 3

xe? i dont know

Answer 4

it is e^x*x' and the derivative of x is 1 so you have e^x but in this case since you have 2x and -0.2x you need to bring those down and differentiate you know what I mean?

Answer 5

crazy eh derivative of e^x is e^x!!

Answer 6

LOL

Answer 7

no i dont explain further please :(

Answer 8

but that it isn't the end of your problem okay do you know how to take simple derivative like x^2? like do you know the power rule?

Answer 9

x^2 would be 2x?

Answer 10

right just making sure.

Answer 11

Okay so when you see e^x you have e^x and when you see e^2x you get e^2x*(2x)' the ' means derivative. You understand? If not I don't mind continuing at all.

Answer 12

ok.. e^2x * (2x)' is e^2x

Answer 13

no what is the derivative of 2x?

Answer 14

x^2 ?

Answer 15

mindboggling

Answer 16

no that is the integral of 2x think about it like this. The derivative is the rate of change of the function so you are looking for the how fast the function is changing. so how fast is 2x changing?

Answer 17

sorry not how fast but by how much is it changing for each value of x

Answer 18

2?

Answer 19

by 2?

Answer 20

yes =) just for fun what is the derivative of 2?

Answer 21

LOL erm not sure

Answer 22

1?

Answer 23

wait
its a constant

Answer 24

so 0

Answer 25

sorry I know I am dragging this out I just want to help you understand. Well think how much is the function y=2 changing over time right!! =)

Answer 26

0

Answer 27

Anyway back to the problem

Answer 28

ok :)

Answer 29

so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?

Answer 30

8.4e^2x

Answer 31

please be right

Answer 32

good stuff dude now how about (−2.9e^(−0.2x))' = ?

Answer 33

yes you got it =) keep going you can do this

Answer 34

:D 0.58e^-0.2x?

Answer 35

I didn't check on the calculator but it looks right dude so now you just have to put the whole thing together you want to show me what that looks like?

Answer 36

ok one second :D

Answer 37

dm/dx = 8.4e^2x + 0.58e^-0.2x

Answer 38

awesome dude high five! =)

Answer 39

woooooooooooo !!!

Answer 40

thanks alot mate appreciate it

Answer 41

not a problem =) thanks