Recent content by Some_dude91

Basically i had posted a similar question some time ago, but i finally got what i was doing wrong. Anyway, there are 2 ways of proving it, then one is the method you say, and the other is the chain rule. A known fact is that (a^x)' = a^x * lna so if you replace "a" with "e" you get what you...

I am posting this question, in order to make something clear, since i am confused by derivation of the exponential function. I'll post the formula i used, correct me if you find something wrong thank you: {\frac{d}{Dx}}\ e^x => {\frac{e^{x + Dx} - e^x}{Dx}}\ => Here i factored out...

Solution by discriminant is not necessarily limited to real numbers, in fact it finds what values x can have, now, which means that x can be either real or complex, the matter is where you use it. For example if you use it for real functions, it's best if you cross out a discriminant less than 0...

Trying the already known equation, sin^2(x) + cos^2(x) = 1 i wondered what would happen if i took that either sin(x) or cos(x) squared equalled a number greater than 1, so when i plugged in sin(x) as 5/3 i got cos(x) 4i/3 , went to euler's equation and added the results, then put the...