lilg132
  • lilg132
differentiate
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
lilg132
  • lilg132
\[M = 4.2e ^{2x} - 2.9e ^{-0.2x}\]
anonymous
  • anonymous
okay well what is the derivative of e^x?
lilg132
  • lilg132
xe? i dont know

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
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?
anonymous
  • anonymous
crazy eh derivative of e^x is e^x!!
lilg132
  • lilg132
LOL
lilg132
  • lilg132
no i dont explain further please :(
anonymous
  • anonymous
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?
lilg132
  • lilg132
x^2 would be 2x?
anonymous
  • anonymous
right just making sure.
anonymous
  • anonymous
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.
lilg132
  • lilg132
ok.. e^2x * (2x)' is e^2x
anonymous
  • anonymous
no what is the derivative of 2x?
lilg132
  • lilg132
x^2 ?
lilg132
  • lilg132
mindboggling
anonymous
  • anonymous
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?
anonymous
  • anonymous
sorry not how fast but by how much is it changing for each value of x
lilg132
  • lilg132
2?
lilg132
  • lilg132
by 2?
anonymous
  • anonymous
yes =) just for fun what is the derivative of 2?
lilg132
  • lilg132
LOL erm not sure
lilg132
  • lilg132
1?
lilg132
  • lilg132
wait its a constant
lilg132
  • lilg132
so 0
anonymous
  • anonymous
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!! =)
anonymous
  • anonymous
0
anonymous
  • anonymous
Anyway back to the problem
lilg132
  • lilg132
ok :)
anonymous
  • anonymous
so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?
lilg132
  • lilg132
8.4e^2x
lilg132
  • lilg132
please be right
anonymous
  • anonymous
good stuff dude now how about (−2.9e^(−0.2x))' = ?
anonymous
  • anonymous
yes you got it =) keep going you can do this
lilg132
  • lilg132
:D 0.58e^-0.2x?
anonymous
  • anonymous
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?
lilg132
  • lilg132
ok one second :D
lilg132
  • lilg132
dm/dx = 8.4e^2x + 0.58e^-0.2x
anonymous
  • anonymous
awesome dude high five! =)
lilg132
  • lilg132
woooooooooooo !!!
lilg132
  • lilg132
thanks alot mate appreciate it
anonymous
  • anonymous
not a problem =) thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.