What is the derivative of $tan((pi * x)/2)$ ?

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Answer 1 · 2016-07-03T16:15:21

Derivative of $tan((pi*x)/2)$ is $pi/2sec^2((pi*x)/2)$

$f(x)=tan((pi*x)/2)$

Hence $(df)/(dx)=d/(d((pi*x)/2))tan((pi*x)/2)xxd/(dx)((pi*x)/2)$

= $sec^2((pi*x)/2)xxpi/2$

= $pi/2sec^2((pi*x)/2)$

What is the derivative of tan((pi * x)/2)tan((pi * x)/2)?