If `y="tan"^(-1)(4x)/(1+5x^(2))+"tan"^(-1)(2+3x)/(3-2x)`, prove that,
`(dy)/(dx)=(5)/(1+25x^(2))`

Prove that sin^(-1)((2x)/(1+x^2))=tan^(-1)((2x)/(1-x^2))

If y=tan^-1((1+x)/(1-x)) then dy/dx=

If y=(1)/(3)"log" (x+1)/(sqrt(x^(2)-x+1))+(1)/(sqrt(3))"tan"^(-1)(2x-1)/(sqrt(3)) , show that, (dy)/(dx)=(1)/(x^(3)+1)

If y=tan^(-1)(5ax)/(a^2-6x^2) prove that dy/dx=(3a)/(a^2+9x^2)+(2a)/(a^2+4x^2)

If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

If tan^(-1)((2x)/(1-x^2)) ,then find dy/dx

If y=x+(x^(3))/(3)+(x^(5))/(5)+…oo , show that (dy)/(dx)=(1)/(1-x^(2)) .

If f(x) =tan^(-1)((x)/(1+20x^(2))) , show that, f'(x)=(5)/(1+25x^(2))-(4)/(1+16x^(2))

If y=tan^(-1)(x^3) then dy/dx=