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" 7) If "(d)/(dx)(cos^(-1)(x))=(-1)/(sqr...

" 7) If "(d)/(dx)(cos^(-1)(x))=(-1)/(sqrt(1-x^(2)))" then "x€-

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

Prove that (d)/(dx)(cos^(-1)x)=(1)/(sqrt(1-x^(2)) , where x in [-1,1].

Prove that (d)/(dx)(cos^(-1)x)=(-1)/(sqrt(1-x^(2)) , where x in [-1,1].

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

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

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

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

State whether it is true or false: d/dx(cos^(-1)x)=(-1)/sqrt(1-x^2)