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lilg132
 3 years ago
differentiate
lilg132
 3 years ago
differentiate

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

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

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1it 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?

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

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

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1but 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?

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1right just making sure.

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1Okay 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
 3 years ago
Best ResponseYou've already chosen the best response.0ok.. e^2x * (2x)' is e^2x

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

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1no 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?

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

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

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1sorry 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!! =)

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1Anyway back to the problem

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

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

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

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1I 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
 3 years ago
Best ResponseYou've already chosen the best response.0dm/dx = 8.4e^2x + 0.58e^0.2x

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

lilg132
 3 years ago
Best ResponseYou've already chosen the best response.0thanks alot mate appreciate it

mathdood
 3 years ago
Best ResponseYou've already chosen the best response.1not a problem =) thanks
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