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How to derivate logarithmic and exponenetial functions ........?
 one year ago
 one year ago
How to derivate logarithmic and exponenetial functions ........?
 one year ago
 one year ago

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mathdoodBest ResponseYou've already chosen the best response.1
ln(x) = 1/x is that what you are looking for?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
I mean the derivative of ln(x) is 1/x or if it were 5ln(x) would be 5/x know what I mean?
 one year ago

maheshmeghwal9Best ResponseYou've already chosen the best response.0
\[\color{red}{\frac{d}{dx}e^x=e^x.}\]\[\color{blue}{\frac{d}{dx}a^x=a^x \log_e{a}.} \]\[\color{green}{\frac{d}{dx}\log_e{x}=\frac{1}{x}. }\]
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Yes of coarse but please discuss more deeply that I understand clearly........... @mathdood
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Okay do you want a proof of d/dx ln(x) = 1/x ?
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
Yes I want proof...... and I will a problem after a short while please solve it as well....
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Okay I will try to do the proof just give me a second. This is one of those things you really just memorize though like d/dx sin(x) = cos(x) know what I mean? Anyway I will give it a shot.
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Okay I am using the definition of a derivative to do this you are familiar with that right?
 one year ago

shahzadjalbaniBest ResponseYou've already chosen the best response.0
(x2)/ ln(x+2) derivate...
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Wait are you asking me to take the derivative of what you just typed or do you want the proof of ln(x) = 1/x ?
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
sorry d/dx ln(x) = 1/x I mean
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Is this what you just type (x2)/ln(x+2) ? If it is I just do this (x2)*(ln(x+2))^1 then use product rule. So (1/(ln(x+2))) + ((1)(x2)(1/(x+2))(1/(ln(x+2))^2)).
 one year ago

mathdoodBest ResponseYou've already chosen the best response.1
Now are you interested in the proof or?
 one year ago
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