If the derivative of `tan^(-1)(a+b x)` take the value of `1` at `x=0,` prove that `1+a^2=bdot`

If the derivative of tan^(-1)(a+bx) take the value of 1 at x=0 ,prove that 1+a^(2)=b

If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0, prove that 1+a^2=bdot

If the derivative of tan^(-1)(a+b x) takes the value 1 at x=0 , prove that 1+a^2=b .

If the derivative of tan^(-1)(a+bx) takes the value 1 at x=0, prove that 1+a^(2)=b

If the derivative of tan^(-1)(a+bx) takes the value 1 at x=0, prove that 1+a^(2)=b

If the derivative of tan^-1 (a+bx) takes the value 1 at x =0, prove that 1+a^2 =b

If the derivative of tan^(-1)(a+bx) takes the value (dy)/(dx)=1 at x=0 , then prove that b=1+a^(2)

If the derivative of tan^(-1) (a + bx) takes the value 1 at x= 0, the 1 +a^(2)=

IF the derivative of tan ^(-1)(a + bx) w.r.t.x takes the value 1 at x= 0, write the relationship between a and b.