Question

For y = tan inverse x, which one is correct ? *
1.y = 1+ x^2
2.y = 1/(1+ x^2)
3.y' (1 + x^2) = 1
4.None of these​

Answer 1

Answer:

option: 3

Step-by-step explanation:

y = tan-¹x

tany = x

Differentiating on both sides,

sec²y.y' = 1

y'(1+tan²y) = 1

y'(1+x²) = 1.