Question

If y = `tan^-1((sqrtx + 1)/(sqrtx - 1)) + tan^-1((sqrtx - 1)/(sqrtx + 1))`, then the value of `dy/dx` = ______

विकल्प

• 0

• 1

• -1

• `-1/2`

Answer 1

If y = `tan^-1((sqrtx + 1)/(sqrtx - 1)) + tan^-1((sqrtx - 1)/(sqrtx + 1))`, then the value of `dy/dx` = 0.

Explanation:

y = `tan^-1((sqrtx + 1)/(sqrtx - 1)) + tan^-1((sqrtx - 1)/(sqrtx + 1)) = pi/2`

∴ `dy/dx = 0`