Derivative of ln(sec x) - Edubirdie

University:
Massachusetts Institute of Technology
Course:
18.01SC | Single Variable Calculus
Academic year:

2023
Views:

276

Pages:

1
Author:

Angelo Ruiz

Derivative of ln(sec x) Now let’s use the chain rule to take the derivative of ln(sec x)). d (ln(sec x)) dx (sec x)� sec x sec x tan x = sec x = tan x = Oddly enough, this strange looking function is not only interesting as a review of the chain rule. The natural log was invented before the exponential function by a man named Napier, exactly in order to evaluate functions like this. People cared about these functions a lot because they were used in navi gation. In order to quickly and accurately multiply sines and cosines together for navigation, Napier used a logarithm. Logarithms were invented long before people knew about exponents, and it was a surprise when it was discovered that they were connected to exponents. The natural log was invented before the log base ten and everything else, exactly for this kind of purpose.

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