tan^(-1)[(4sqrt(x))/(1-4x)]

Find (dy)/(dx) , when y="tan"^(-1)(sqrt(x)-4sqrt(x))/(1+4sqrt(x^(3)))

Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqrt(x) , "where" x gt 0

Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x+sqrt(1-x)))]=(pi)/(4)-(1)/(2)cos^(-1)x,quad -(1)/(sqrt(2))<=x<=1

find dy/dx for tan^(-1)[sqrt((1-sin4x)/(1+sin4x))]

Differentiate cos^(-1)(4x^(3)-3x) with respect to tan^(-1)((sqrt(1-x^(2)))/(x)), if 1/2

Differentiate tan^(-1)((1+2x)/(1-2x))wdotrdottsqrt(1+4x^2) and tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)(x)

If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0) , then

If tan^(-1) .(sqrt(1+x^(2))-1)/x = 4^(@) , then

If "tan"^(-1)(sqrt(1+x^(2))-1)/x=4^(@) then