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Question
If y = `tan^-1((sqrtx + 1)/(sqrtx - 1)) + tan^-1((sqrtx - 1)/(sqrtx + 1))`, then the value of `dy/dx` = ______
Options
0
1
-1
`-1/2`
MCQ
Fill in the Blanks
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Solution
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`
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Derivative of Inverse Functions
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