r7ombrophinjakinson
r7ombrophinjakinson r7ombrophinjakinson
  • 20-07-2016
  • Mathematics
contestada

Obtain the derivative of ln(tanx).

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meerkat18
meerkat18 meerkat18
  • 20-07-2016
The derivative of the expression ln (tanx) by first taking the terms by parts. We use the logarithmic and trigonometric theorems of differential calculus. The derivative of ln x is dx / x while the derivative of tan x is sec^2 x dx. hence the complete derivation of the function ln (tanx) is sec^2 x dx / x. 
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