(" iii ")quad sin^(-1)((2^(x+1))/(1+4^(x)))

Differentiate the following w.r.t x. (i) cos^(-1) (sin x) (ii) tan^(-1) ((sin x)/(1 + cos x)) (iii) sin^(-1) ((2^(x+1))/(1+4^(x)))

(d)/(dx)[sin^(-1)((2^(x+1))/(1+4^(x)))]

Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^(-1)(sin x/(1+cos x)) (iii) sin ^(-1)((2^(x+1))/(1+4^x))

Find the derivative of sin^(-1)((2^(x+1))/(1+4^x))

y = sin ^ (- 1) ((2 ^ (x + 1)) / (1 + 4 ^ (x)))

Differentiate w.r.t. x: (i)cos^(-1)(4x^(3)-3x)" "(ii)sin^(-1)((1-x^(2))/(1+x^(2)))" "(iii)sec^(-1)((x^(2)+1)/(x^(2)-1))

(x.sin^(-1)x^(2))/(sqrt(1-x^(4)))

Solve for x:sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))

Differentiate the following functions with respect to x:(x^(2)+x+1)^(4)sqrt(x^(2)+x+1) (iii) sin^(3)x( iv) (1)/(sqrt(a^(2)-x^(2)))

prove that, 2 tan^(-1) 2x = sin^(-1).(4x)/(1 + 4x^(2))