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lilg132Best ResponseYou've already chosen the best response.0
\[M = 4.2e ^{2x}  2.9e ^{0.2x}\]
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
okay well what is the derivative of e^x?
 one year ago

mathdoodBest 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?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
crazy eh derivative of e^x is e^x!!
 one year ago

lilg132Best ResponseYou've already chosen the best response.0
no i dont explain further please :(
 one year ago

mathdoodBest 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?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
right just making sure.
 one year ago

mathdoodBest 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.
 one year ago

lilg132Best ResponseYou've already chosen the best response.0
ok.. e^2x * (2x)' is e^2x
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
no what is the derivative of 2x?
 one year ago

mathdoodBest 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?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
sorry not how fast but by how much is it changing for each value of x
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
yes =) just for fun what is the derivative of 2?
 one year ago

mathdoodBest 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!! =)
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Anyway back to the problem
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
so if (e^2x)' = 2e^2x then what do you think (4.2e^2x)' = ?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
good stuff dude now how about (−2.9e^(−0.2x))' = ?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
yes you got it =) keep going you can do this
 one year ago

mathdoodBest 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?
 one year ago

lilg132Best ResponseYou've already chosen the best response.0
dm/dx = 8.4e^2x + 0.58e^0.2x
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
awesome dude high five! =)
 one year ago

lilg132Best ResponseYou've already chosen the best response.0
thanks alot mate appreciate it
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
not a problem =) thanks
 one year ago
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