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lilg132 Group TitleBest ResponseYou've already chosen the best response.0
\[M = 4.2e ^{2x}  2.9e ^{0.2x}\]
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
okay well what is the derivative of e^x?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
xe? i dont know
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
crazy eh derivative of e^x is e^x!!
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
no i dont explain further please :(
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
x^2 would be 2x?
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
right just making sure.
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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.
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
ok.. e^2x * (2x)' is e^2x
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
no what is the derivative of 2x?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
mindboggling
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
sorry not how fast but by how much is it changing for each value of x
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
yes =) just for fun what is the derivative of 2?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
LOL erm not sure
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
wait its a constant
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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!! =)
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
Anyway back to the problem
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
please be right
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
good stuff dude now how about (−2.9e^(−0.2x))' = ?
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
yes you got it =) keep going you can do this
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
:D 0.58e^0.2x?
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
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?
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
ok one second :D
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
dm/dx = 8.4e^2x + 0.58e^0.2x
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
awesome dude high five! =)
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
woooooooooooo !!!
 2 years ago

lilg132 Group TitleBest ResponseYou've already chosen the best response.0
thanks alot mate appreciate it
 2 years ago

mathdood Group TitleBest ResponseYou've already chosen the best response.1
not a problem =) thanks
 2 years ago
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