" (i) "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))

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

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)

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

If f(x)=tan^(-1)sqrt(x^(2)+4x) +sin^(-1)sqrt(x^(2)+4x+1)