y=tan^(-1)((4sqrt(21))/(1-4x))

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

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

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)))

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

y=tan^(-1)((x)/(1+sqrt(1-x^(2))))+sin(2tan^(-1)theta*sqrt((1-x)/(1+x))) then prove that ,4(1-x^(2))^(3)((d^(2)y)/(dx^(2)))^(2)+4x=x^(2)+4

Consider y=tan^-1sqrt((1+sinx)/(1-sinx)) . Hence prove that y=pi/4+x/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)