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Mathematics 24 Online
OpenStudy (christos):

Limits, I have to find this limit: http://screencast.com/t/3pc0fpKoqY That's the solution of the problem: http://screencast.com/t/qGzfeoIYx <--- where did he find that 3x ?

OpenStudy (agent0smith):

That 3x is just to find the derivative of it.

OpenStudy (christos):

see here: http://screencast.com/t/wYvgD1LUaf 3x is had already the chain rule applied to it

OpenStudy (christos):

I know other ways too, it just confuses me

OpenStudy (christos):

this way*

OpenStudy (christos):

Can you please help me with my question ? :P

OpenStudy (08surya):

differentiation of e^3x is e^3x*3x

OpenStudy (christos):

then why it goes 9e^3x in the solution

OpenStudy (dls):

which step u confused in?

OpenStudy (dls):

red one?

OpenStudy (christos):

http://screencast.com/t/sNkRIGAym

OpenStudy (dls):

\[\Huge \frac {d}{dx}(e^{3x})=e^{3x} \times 3x \times \frac{dx}{dx}\] agree?

OpenStudy (dls):

chain rule

OpenStudy (christos):

thanks

OpenStudy (dls):

np if u got it ^^

OpenStudy (christos):

but if that was the case then it would be: e^(3x)9x Would it ? :)

OpenStudy (christos):

what's dx/dy of e^(5x) ? Please answer me this and I will understand all

OpenStudy (christos):

http://www.wolframalpha.com/input/?i=d%2Fdx+e%5E%283x%29 @DLS

OpenStudy (agent0smith):

derivative of e^(3x) is 3e^(3x) derivative of e^(5x) is 5e^(5x) derivative of e^(x^2) is 2x*e^(x^2)

OpenStudy (agent0smith):

\[\huge \frac{ d }{ dx } e^{f(x) }= f'(x) e^{f(x)}\]

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