Derivative of sin^(-1)4x?

1 Answer
sjc
Nov 21, 2017

#d/(dx)(sin^(-1)4x)=4/(sqrt(1-16x^2#

Explanation:

Let

#y=sin^(-1)4x#

#=>4x=siny#

differentiate #wrt" "x#

#4=cosy(dy)/(dx)#

#(dy)/(dx)=4/cosy=4/(sqrt(1-sin^2y)#

#(dy)/(dx)=4/(sqrt(1-(4x)^2)#

#(dy)/(dx)=4/(sqrt(1-16x^2#

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