`d/dxsin(cos^(-1)x) `

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

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x))), where x in(0,1) is equal to 0(b)1(c)-1(d) none of these

(d)/(dx)(sin^(-1)x+cos^(-1)x) is equal to

d/(dx)(cos^(-1)((1 - x^2)/(1 + x^2))) =.............. If x is positive

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

Differentiate x^(cos)^^((-1)x) with respect to x:

(d) / (dx) (cos ^ (2) (tan ^ (- 1) (sin (cot ^ (- 1) x))))

(d)/(dx)(e^(sin^(-1)x+cos^(-1)x))= ..........., (|x|<1)