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" 45."(d)/(dx)[sin{2cos^(-1)(sin x)}]=...

" 45."(d)/(dx)[sin{2cos^(-1)(sin x)}]=

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(d)/(dx)(sin{2cos^(-1)(sinx)}]=

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

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

(d)/(dx)sin x

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

(d)/(dx)sin^(2)x

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

(d)/(dx)[3(sin^(2)x+cos^(2)x)]=

(d)/(dx)(sin^(2)x+cos^(2)x) =

d/(dx) (sin^(-1) x/a)