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" 135."(d)/(dx)sin^(-1)sqrt((1-x)/(2))=...

" 135."(d)/(dx)sin^(-1)sqrt((1-x)/(2))=

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

(d)/(dx)[sqrt((1-sin2x)/(1+sin2x))]=

(d)/(dx)[sin^(-1)(x sqrt(1-x)-sqrt(x)sqrt(1-x^(2)))] is

(d)/(dx)[sin^(-1)(xsqrt(1 - x)- sqrt(x)sqrt(1 - x^(2)))] is equal to

(d)/(dx)[sin^(-1)((sqrt(1+x)+sqrt(1-x))/(2))]=

(d)/(dx)[sin^(-1)x+sin^(-1)sqrt(1-x^(2))]=

(d)/(dx)[sin^(-1)x+sin^(-1)sqrt(1-x^(2))]=

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

"Differentiate: "(sin x)^(x)+sin^(-1)sqrt(x)

d/(dx)[sin^(- 1)((sqrt(1+x)+sqrt(1-x))/2)]=