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

1 Answer

Shwetank Mauria

Jul 3, 2016

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)#

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