Question

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

Answer 1

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

Explanation:

`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)`