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Question
The value of `d/(dx)[tan^-1((a - x)/(1 + ax))]` is ______.
Options
`- 1/(1 + x^2)`
`1/(1 + a^2) - 1/(1 + x^2)`
`1/(1 + x^2)`
None of these
MCQ
Fill in the Blanks
Solution
The value of `d/(dx)[tan^-1((a - x)/(1 + ax))]` is `underlinebb(- 1/(1 + x^2))`.
Explanation:
`d/(dx)[tan^-1((a - x)/(1 + ax))]`
= `d/(dx) (tan^-1a - tan^-1x)`
= `0 - 1/(1 + x^2)`
= `-1/(1 + x^2)`
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Differentiation
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