" S."(1)tan^(-1)(4sqrt(x))/(1-4x)

Using a suitable substitution,find the derivative of tan ^(-1)((4sqrt(x))/(1-4x)) with respect to x.

If y = tan^(-1) ((4sqrt(x))/(1 - 4x))" then" (dy)/(dx) is

Differentiate tan^-1((4sqrt(x))/(1-4x))

Differentiate tan^-1((4sqrt(x))/(1-4x))

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

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

prove tan ^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=pi/4-1/2 cos ^(-1) x, -1/2 le x le 1

Differentiate tan^(-1)((1+2x)/(1-2x))w*r.t sqrt(1+4x^(2))tan^(-1)((sqrt(1+x^(2))-1)/(x)) with respect to tan^(-1)(x)

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

Prove that tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))=(pi)/(4)+(1)/(2) cos^(-1)x^(2) .