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" 23.Find : "(d)/(dx)cos^(-1)((x-x^(-1))...

" 23.Find : "(d)/(dx)cos^(-1)((x-x^(-1))/(x+x^(-1)))

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(d)/(dx)cos^(-1)(sin x)=

(d)/(dx) {Cos ^(-1) ""(1-x ^(2))/(1+ x ^(2))}=

(d)/(dx) {cos ((1-x ^(2))/(1+ x ^(2)))}=

(d)/(dx)[cos ^(-1)(4x^(3) - 3x)]=

d/(dx){cos^(-1)((4x^3)/27-x)}=

d/(dx)(cos^-1((1-x^2)/(1+x^2)))=

d/(dx)[cos(1-x^2)^2]=

d/(dx)[cos(1-x^2)^2]=