Proof of the derivative of ln x 1x

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Why d/dx (lnx) = 1/x? Here's the proof. • This video shows the proof of the derivative of ln x by using the first principle. • Proof of the derivative of log x 👉 • Proof of the derivative of log x • ------------------------------------------------------------------------------------------------------------------------------------------------------------------ • Proof of the derivative of e^x by using the first principle and followed by two different approaches at • Proof of the derivative of e^x • Proof of the limit of (1+1/n)^n = e using: • 1. L’Hopital’s rule at • Proof of (1+1/n)^n=e • 2. Binomial theorem at • Proof of (1+1/n)^n=e • Proof of the derivative of ln x using: • 1. the Chain rule at • Proof of the derivative of ln x • 2. the first principle at • Proof of the derivative of ln x = 1/x • ------------------------------------------------------------------------------------------------------------------------------------------------------------------ • If have to prove more than one case at once. Here are some combinations. • limit of (1+1/n)^n = e and d/dx(lnx) = x • Proof of the derivative of e^x (graphical approach) at • Proof of the derivative of e^x • Proof of the derivative of ln x (chain rule) at • Proof of the derivative of ln x • Proof of (1+1/n)^n = e (L’Hopital’s rule) at • Proof of (1+1/n)^n=e • or • Proof of (1+1/n)^n = e (binomial theorem) at • Proof of (1+1/n)^n=e • Proof of the derivative of ln x (first principle) at • Proof of the derivative of ln x = 1/x

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