exp(x)

y = exp(x) = e^x 

 

Where e = \(1+\dfrac{1}{1!}+\dfrac{2}{2!}+\dfrac{3}{3!}......\)

Which is Euler's number

Example:

\(\color{aqua}e^x\cdot e^{-x}= 1\)

Uh sorry that holds for every values of x XDDDDD

 

\(\color{blue}e^x=e^{-x}\)

\(\color{blue}\ln e^x = \ln e^{-x}\)

\(\color{blue}x=-x\) \(\color{red}\leftarrow \color{}\boxed{\color{red}\ln x = \log_e x}\\\color{}\boxed{\color{red}\ln e^x=x}\)

\(\color{blue}2x=0\)

\(\color{blue}x=0\)