Derivative of log x with any Base Explained | Calculus 1

Published: 03 June 2023
on channel: Wrath of Math
14,212
137

We show the derivative of loga(x) is 1/(xlna) using implicit differentiation, our formula for the derivative of an exponential function a^x, and the chain rule! Then we plug in a=e to see the derivative of lnx is 1/x. We also find the derivative of log_3x using our new formula. #calculus1 #calculus

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Chain Rule Explained:    • What is the Chain Rule? (Finding Deri...  
Derivative of a^x:    • Derivative of a^x Explained | Calculus 1  
Guide to Implicit Differentiation: (coming soon)

Calculus 1 Exercises playlist:    • Calculus 1 Exercises  
Calculus 1 playlist:    • Calculus 1  

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