यदि ` y= tan^(-1). (2x)/(1-x^(2))` हो तो `(dy)/(dx)` ज्ञात कीजिए ।

Explanation

मान लो ` x = tan theta ` , तब
` y= tan^(-1) .(2x)/(1-x^(2)) = tan^(-1) .(( 2 tan theta)/(1-tan^(2) theta)) `
` = tan ^(-1) (tan 2theta) = 2theta = 2 tan ^(-1) x`
अतः `(dy)/(dx) = 2/(1+x^(2))`